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137369925 = 3452711881
BaseRepresentation
bin10000011000000…
…01100101000101
3100120111010010000
420030001211011
5240131314200
621344151513
73255424260
oct1014014505
9316433100
10137369925
11705a6070
123a008599
13225c91a4
141435bcd7
15c0d7300
hex8301945

137369925 has 120 divisors (see below), whose sum is σ = 317604672. Its totient is φ = 57024000.

The previous prime is 137369923. The next prime is 137369929. The reversal of 137369925 is 529963731.

It is not a de Polignac number, because 137369925 - 21 = 137369923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137369923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 155485 + ... + 156365.

Almost surely, 2137369925 is an apocalyptic number.

137369925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137369925 is an abundant number, since it is smaller than the sum of its proper divisors (180234747).

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

137369925 is a wasteful number, since it uses less digits than its factorization.

137369925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 907 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 137369925 is about 11720.4916705742. The cubic root of 137369925 is about 515.9772502139.

The spelling of 137369925 in words is "one hundred thirty-seven million, three hundred sixty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 135 165 175 189 225 231 275 297 315 385 405 495 525 567 675 693 825 881 891 945 1155 1485 1575 1925 2025 2079 2475 2643 2835 3465 4405 4455 4725 5775 6167 6237 7425 7929 9691 10395 13215 14175 17325 18501 22025 22275 23787 29073 30835 31185 39645 48455 51975 55503 66075 67837 71361 87219 92505 118935 145365 154175 155925 166509 198225 203511 242275 261657 277515 339185 356805 436095 462525 499527 594675 610533 726825 784971 832545 1017555 1308285 1387575 1695925 1784025 1831599 2180475 2497635 3052665 3924855 4162725 5087775 5494797 6541425 9157995 12488175 15263325 19624275 27473985 45789975 137369925