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137502552 = 23311701743
BaseRepresentation
bin10000011001000…
…01111101011000
3100120201212001010
420030201331120
5240200040202
621351053520
73256516035
oct1014417530
9316655033
10137502552
1170686780
123a0712a0
1322644675
141439438c
15c11176c
hex8321f58

137502552 has 64 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 41552000.

The previous prime is 137502551. The next prime is 137502557. The reversal of 137502552 is 255205731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137502551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184693 + ... + 185435.

It is an arithmetic number, because the mean of its divisors is an integer number (5875740).

Almost surely, 2137502552 is an apocalyptic number.

137502552 is a gapful number since it is divisible by the number (12) 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 137502552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

137502552 is an abundant number, since it is smaller than the sum of its proper divisors (238544808).

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

137502552 is a wasteful number, since it uses less digits than its factorization.

137502552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 137502552 is about 11726.1482166993. The cubic root of 137502552 is about 516.1432508949.

The spelling of 137502552 in words is "one hundred thirty-seven million, five hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 701 743 1402 1486 2103 2229 2804 2972 4206 4458 5608 5944 7711 8173 8412 8916 15422 16346 16824 17832 23133 24519 30844 32692 46266 49038 61688 65384 92532 98076 185064 196152 520843 1041686 1562529 2083372 3125058 4166744 5729273 6250116 11458546 12500232 17187819 22917092 34375638 45834184 68751276 137502552