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137397517400 = 235211134804109
BaseRepresentation
bin111111111110110000…
…1111011110001011000
3111010122110200001202202
41333331201323301120
54222342231024100
6143041453345332
712632560425323
oct1777541736130
9433573601682
10137397517400
11532a7353480
1222766198248
13cc58660070
146915b417ba
1538925007d5
hex1ffd87bc58

137397517400 has 96 divisors (see below), whose sum is σ = 375297073200. Its totient is φ = 46119436800.

The previous prime is 137397517393. The next prime is 137397517403. The reversal of 137397517400 is 4715793731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137397517403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373455 + ... + 2430654.

Almost surely, 2137397517400 is an apocalyptic number.

137397517400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137397517400 is an abundant number, since it is smaller than the sum of its proper divisors (237899555800).

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

137397517400 is a wasteful number, since it uses less digits than its factorization.

137397517400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804149 (or 4804140 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 47.

The spelling of 137397517400 in words is "one hundred thirty-seven billion, three hundred ninety-seven million, five hundred seventeen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 5720 7150 14300 28600 4804109 9608218 19216436 24020545 38432872 48041090 52845199 62453417 96082180 105690398 120102725 124906834 192164360 211380796 240205450 249813668 264225995 312267085 422761592 480410900 499627336 528451990 624534170 686987587 960821800 1056903980 1249068340 1321129975 1373975174 1561335425 2113807960 2498136680 2642259950 2747950348 3122670850 3434937935 5284519900 5495900696 6245341700 6869875870 10569039800 12490683400 13739751740 17174689675 27479503480 34349379350 68698758700 137397517400