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137973978 = 23259129919
BaseRepresentation
bin10000011100101…
…01000011011010
3100121121210201100
420032111003122
5240310131403
621405132230
73263521332
oct1016250332
9317553640
10137973978
117097898a
123a25a076
132277b10c
14144780c2
15c1a62a3
hex83950da

137973978 has 24 divisors (see below), whose sum is σ = 304012800. Its totient is φ = 45211464.

The previous prime is 137973973. The next prime is 137974013. The reversal of 137973978 is 879379731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137973973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63898 + ... + 66021.

It is an arithmetic number, because the mean of its divisors is an integer number (12667200).

Almost surely, 2137973978 is an apocalyptic number.

137973978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137973978 is an abundant number, since it is smaller than the sum of its proper divisors (166038822).

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

137973978 is a wasteful number, since it uses less digits than its factorization.

137973978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129986 (or 129983 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 137973978 is about 11746.2325023813. The cubic root of 137973978 is about 516.7324418977.

It can be divided in two parts, 1379 and 73978, that added together give a palindrome (75357).

The spelling of 137973978 in words is "one hundred thirty-seven million, nine hundred seventy-three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 129919 259838 389757 779514 1169271 2338542 7665221 15330442 22995663 45991326 68986989 137973978