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137462431137 = 31710861248167
BaseRepresentation
bin1000000000000101100…
…1100011110110100001
3111010210222211000200020
42000001121203312201
54223010340244022
6143052132544053
712634306246233
oct2000131436641
9433728730606
10137462431137
115332aa60099
1222783a82029
13cc68c3a765
1469205dc253
15389807435c
hex2001663da1

137462431137 has 16 divisors (see below), whose sum is σ = 194083258752. Its totient is φ = 86242648320.

The previous prime is 137462431129. The next prime is 137462431147. The reversal of 137462431137 is 731134264731.

It is not a de Polignac number, because 137462431137 - 23 = 137462431129 is a prime.

It is a super-2 number, since 2×1374624311372 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137462431147) 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, 429828 + ... + 677994.

It is an arithmetic number, because the mean of its divisors is an integer number (12130203672).

Almost surely, 2137462431137 is an apocalyptic number.

137462431137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137462431137 is a deficient number, since it is larger than the sum of its proper divisors (56620827615).

137462431137 is a wasteful number, since it uses less digits than its factorization.

137462431137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259048.

The product of its digits is 254016, while the sum is 42.

Adding to 137462431137 its reverse (731134264731), we get a palindrome (868596695868).

The spelling of 137462431137 in words is "one hundred thirty-seven billion, four hundred sixty-two million, four hundred thirty-one thousand, one hundred thirty-seven".

Divisors: 1 3 17 51 10861 32583 184637 248167 553911 744501 4218839 12656517 2695341787 8086025361 45820810379 137462431137