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137445380 = 22537185737
BaseRepresentation
bin10000011000101…
…00000000000100
3100120121221121122
420030110000010
5240141223010
621345533112
73256160252
oct1014240004
9316557548
10137445380
1170647826
123a044198
1322624637
141437b5d2
15c0ee855
hex8314004

137445380 has 24 divisors (see below), whose sum is σ = 296437848. Its totient is φ = 53491968.

The previous prime is 137445379. The next prime is 137445389. The reversal of 137445380 is 83544731.

It can be written as a sum of positive squares in 4 ways, for example, as 8213956 + 129231424 = 2866^2 + 11368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137445380.

It is not an unprimeable number, because it can be changed into a prime (137445389) 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, 92129 + ... + 93608.

It is an arithmetic number, because the mean of its divisors is an integer number (12351577).

Almost surely, 2137445380 is an apocalyptic number.

137445380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137445380 is an abundant number, since it is smaller than the sum of its proper divisors (158992468).

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

137445380 is a wasteful number, since it uses less digits than its factorization.

137445380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185783 (or 185781 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 137445380 is about 11723.7101635958. The cubic root of 137445380 is about 516.0717054768.

The spelling of 137445380 in words is "one hundred thirty-seven million, four hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 185737 371474 742948 928685 1857370 3714740 6872269 13744538 27489076 34361345 68722690 137445380