137966568000 has 224 divisors, whose sum is σ = 456411421440. Its totient is φ = 36722790400.

The previous prime is 137966567953. The next prime is 137966568011. The reversal of 137966568000 is 865669731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13650949 + ... + 13661051.

Almost surely, 2^137966568000 is an apocalyptic number.

137966568000 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 137966568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228205710720).

137966568000 is an abundant number, since it is smaller than the sum of its proper divisors (318444853440).

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

137966568000 is a wasteful number, since it uses less digits than its factorization.

137966568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 137966568000 in words is "one hundred thirty-seven billion, nine hundred sixty-six million, five hundred sixty-eight thousand".