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137061480 = 23351767187
BaseRepresentation
bin10000010101101…
…10010001101000
3100112220110000010
420022312101220
5240041431410
621333411520
73253001103
oct1012662150
9315813003
10137061480
1170405356
1239a99ba0
132251b98a
14142bb73a
15c075c20
hex82b6468

137061480 has 64 divisors (see below), whose sum is σ = 435378240. Its totient is φ = 34399232.

The previous prime is 137061479. The next prime is 137061517. The reversal of 137061480 is 84160731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 31554 + ... + 35633.

It is an arithmetic number, because the mean of its divisors is an integer number (6802785).

Almost surely, 2137061480 is an apocalyptic number.

137061480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137061480 is an abundant number, since it is smaller than the sum of its proper divisors (298316760).

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

137061480 is a wasteful number, since it uses less digits than its factorization.

137061480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67218 (or 67214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 137061480 is about 11707.3259115820. The cubic root of 137061480 is about 515.5907758368.

The spelling of 137061480 in words is "one hundred thirty-seven million, sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 67187 134374 201561 268748 335935 403122 537496 671870 806244 1007805 1142179 1343740 1612488 2015610 2284358 2687480 3426537 4031220 4568716 5710895 6853074 8062440 9137432 11421790 13706148 17132685 22843580 27412296 34265370 45687160 68530740 137061480