137160580557000 has 768 divisors, whose sum is σ = 578931145228800. Its totient is φ = 26308516608000.

The previous prime is 137160580556921. The next prime is 137160580557019. The reversal of 137160580557000 is 755085061731.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30956886 + ... + 35109114.

It is an arithmetic number, because the mean of its divisors is an integer number (753816595350).

Almost surely, 2^{137160580557000} is an apocalyptic number.

137160580557000 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 137160580557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289465572614400).

137160580557000 is an abundant number, since it is smaller than the sum of its proper divisors (441770564671800).

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

137160580557000 is a wasteful number, since it uses less digits than its factorization.

137160580557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152295 (or 4152270 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 137160580557000 in words is "one hundred thirty-seven trillion, one hundred sixty billion, five hundred eighty million, five hundred fifty-seven thousand".