137856960 has 168 divisors, whose sum is σ = 478816416. Its totient is φ = 36403200.

The previous prime is 137856959. The next prime is 137856967. The reversal of 137856960 is 69658731.

It is a happy number.

137856960 is a `hidden beast` number, since 13 + 78 + 569 + 6 + 0 = 666.

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 (137856967) 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, 434722 + ... + 435038.

Almost surely, 2^137856960 is an apocalyptic number.

137856960 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 137856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239408208).

137856960 is an abundant number, since it is smaller than the sum of its proper divisors (340959456).

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

137856960 is a wasteful number, since it uses less digits than its factorization.

137856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 137856960 is about 11741.2503593101. The cubic root of 137856960 is about 516.5863174855.

The spelling of 137856960 in words is "one hundred thirty-seven million, eight hundred fifty-six thousand, nine hundred sixty".