137831056828416 has 1440 divisors, whose sum is σ = 516430575460800. Its totient is φ = 36396039536640.

The previous prime is 137831056828403. The next prime is 137831056828453. The reversal of 137831056828416 is 614828650138731.

It is a happy number.

137831056828416 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 3 + 1 + 0 + 568 + 28 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6332099965 + ... + 6332121731.

It is an arithmetic number, because the mean of its divisors is an integer number (358632344070).

Almost surely, 2^{137831056828416} is an apocalyptic number.

137831056828416 is a gapful number since it is divisible by the number (16) 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 137831056828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258215287730400).

137831056828416 is an abundant number, since it is smaller than the sum of its proper divisors (378599518632384).

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

137831056828416 is a wasteful number, since it uses less digits than its factorization.

137831056828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21875 (or 21839 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 137831056828416 in words is "one hundred thirty-seven trillion, eight hundred thirty-one billion, fifty-six million, eight hundred twenty-eight thousand, four hundred sixteen".