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134202400 = 2552227739
BaseRepresentation
bin1111111111111…
…00010000100000
3100100112012002021
413333330100200
5233323434100
621152231224
73216462433
oct777742040
9310465067
10134202400
1169832282
1238b3b514
1321a5a507
1413b7581a
15bbada1a
hex7ffc420

134202400 has 72 divisors (see below), whose sum is σ = 329510160. Its totient is φ = 53372160.

The previous prime is 134202373. The next prime is 134202427. The reversal of 134202400 is 4202431.

It is an interprime number because it is at equal distance from previous prime (134202373) and next prime (134202427).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181231 + ... + 181969.

It is an arithmetic number, because the mean of its divisors is an integer number (4576530).

Almost surely, 2134202400 is an apocalyptic number.

134202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755080).

134202400 is an abundant number, since it is smaller than the sum of its proper divisors (195307760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134202400 is a wasteful number, since it uses less digits than its factorization.

134202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 134202400 is about 11584.5759525327. The cubic root of 134202400 is about 511.9805086981.

Adding to 134202400 its reverse (4202431), we get a palindrome (138404831).

The spelling of 134202400 in words is "one hundred thirty-four million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 227 400 454 739 800 908 1135 1478 1816 2270 2956 3632 3695 4540 5675 5912 7264 7390 9080 11350 11824 14780 18160 18475 22700 23648 29560 36320 36950 45400 59120 73900 90800 118240 147800 167753 181600 295600 335506 591200 671012 838765 1342024 1677530 2684048 3355060 4193825 5368096 6710120 8387650 13420240 16775300 26840480 33550600 67101200 134202400