137961169920 has 1584 divisors, whose sum is σ = 603430184448. Its totient is φ = 30098718720.

The previous prime is 137961169901. The next prime is 137961169949. The reversal of 137961169920 is 29961169731.

137961169920 is a `hidden beast` number, since 13 + 7 + 9 + 611 + 6 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×137961169920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1889879004 + ... + 1889879076.

Almost surely, 2^137961169920 is an apocalyptic number.

137961169920 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 137961169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301715092224).

137961169920 is an abundant number, since it is smaller than the sum of its proper divisors (465469014528).

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

137961169920 is an equidigital number, since it uses as much as digits as its factorization.

137961169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 137961169920 in words is "one hundred thirty-seven billion, nine hundred sixty-one million, one hundred sixty-nine thousand, nine hundred twenty".