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137251104 = 2533074657
BaseRepresentation
bin10000010111001…
…00100100100000
3100120021002010020
420023210210200
5240114013404
621341433440
73254420664
oct1013444440
9316232106
10137251104
1170524871
1239b6b880
1322587093
141432a8a4
15c0b1ed9
hex82e4920

137251104 has 48 divisors (see below), whose sum is σ = 361535328. Its totient is φ = 45591552.

The previous prime is 137251099. The next prime is 137251109. The reversal of 137251104 is 401152731.

It is an interprime number because it is at equal distance from previous prime (137251099) and next prime (137251109).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (137251109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27144 + ... + 31800.

It is an arithmetic number, because the mean of its divisors is an integer number (7531986).

Almost surely, 2137251104 is an apocalyptic number.

It is an amenable number.

137251104 is an abundant number, since it is smaller than the sum of its proper divisors (224284224).

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

137251104 is a wasteful number, since it uses less digits than its factorization.

137251104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137251104 is about 11715.4216313370. The cubic root of 137251104 is about 515.8284388488.

The spelling of 137251104 in words is "one hundred thirty-seven million, two hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 307 614 921 1228 1842 2456 3684 4657 4912 7368 9314 9824 13971 14736 18628 27942 29472 37256 55884 74512 111768 149024 223536 447072 1429699 2859398 4289097 5718796 8578194 11437592 17156388 22875184 34312776 45750368 68625552 137251104