137652117120 has 1536 divisors, whose sum is σ = 613344441600. Its totient is φ = 28983951360.

The previous prime is 137652117107. The next prime is 137652117131. The reversal of 137652117120 is 21711256731.

137652117120 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 521 + 1 + 7 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1050779455 + ... + 1050779585.

Almost surely, 2^137652117120 is an apocalyptic number.

137652117120 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 137652117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306672220800).

137652117120 is an abundant number, since it is smaller than the sum of its proper divisors (475692324480).

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

137652117120 is a wasteful number, since it uses less digits than its factorization.

137652117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 137652117120 in words is "one hundred thirty-seven billion, six hundred fifty-two million, one hundred seventeen thousand, one hundred twenty".