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137924640 = 2533574561
BaseRepresentation
bin10000011100010…
…01000000100000
3100121112022001000
420032021000200
5240302042030
621404112000
73263224440
oct1016110040
9317468030
10137924640
1170944907
123a235600
1322761819
1414464120
15c196860
hex8389020

137924640 has 192 divisors, whose sum is σ = 551819520. Its totient is φ = 31518720.

The previous prime is 137924623. The next prime is 137924651. The reversal of 137924640 is 46429731.

137924640 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 2 + 4 + 640 = 666.

137924640 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137924595 and 137924604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27960 + ... + 32520.

It is an arithmetic number, because the mean of its divisors is an integer number (2874060).

Almost surely, 2137924640 is an apocalyptic number.

137924640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275909760).

137924640 is an abundant number, since it is smaller than the sum of its proper divisors (413894880).

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

137924640 is a wasteful number, since it uses less digits than its factorization.

137924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137924640 is about 11744.1321518450. The cubic root of 137924640 is about 516.6708419133.

The spelling of 137924640 in words is "one hundred thirty-seven million, nine hundred twenty-four thousand, six hundred forty".