137925816913920 has 624 divisors, whose sum is σ = 514555072051968. Its totient is φ = 31452459171840.

The previous prime is 137925816913903. The next prime is 137925816913921. The reversal of 137925816913920 is 29319618529731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137925816913921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297498212 + ... + 1297604508.

Almost surely, 2^{137925816913920} is an apocalyptic number.

137925816913920 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 137925816913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257277536025984).

137925816913920 is an abundant number, since it is smaller than the sum of its proper divisors (376629255138048).

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

137925816913920 is a wasteful number, since it uses less digits than its factorization.

137925816913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106774 (or 106745 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 137925816913920 in words is "one hundred thirty-seven trillion, nine hundred twenty-five billion, eight hundred sixteen million, nine hundred thirteen thousand, nine hundred twenty".