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137574444 = 22371739467
BaseRepresentation
bin10000011001100…
…11100000101100
3100120212111122210
420030303200230
5240204340234
621352410420
73260235450
oct1014634054
9316774583
10137574444
1170725797
123a0a6a10
132266b2c7
14143b2660
15c127be9
hex833382c

137574444 has 48 divisors (see below), whose sum is σ = 369024768. Its totient is φ = 39075648.

The previous prime is 137574443. The next prime is 137574461. The reversal of 137574444 is 444475731.

It is not an unprimeable number, because it can be changed into a prime (137574443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9799 + ... + 19265.

It is an arithmetic number, because the mean of its divisors is an integer number (7688016).

Almost surely, 2137574444 is an apocalyptic number.

137574444 is a gapful number since it is divisible by the number (14) 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 137574444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512384).

137574444 is an abundant number, since it is smaller than the sum of its proper divisors (231450324).

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

137574444 is a wasteful number, since it uses less digits than its factorization.

137574444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9652 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 137574444 is about 11729.2132728500. The cubic root of 137574444 is about 516.2331888754.

The spelling of 137574444 in words is "one hundred thirty-seven million, five hundred seventy-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3633 4844 7266 9467 14532 18934 28401 37868 56802 66269 113604 132538 198807 265076 397614 795228 1637791 3275582 4913373 6551164 9826746 11464537 19653492 22929074 34393611 45858148 68787222 137574444