164133615137000 has 64 divisors (see below), whose sum is σ = 404287009963200. Its totient is φ = 62198001518400.

The previous prime is 164133615136999. The next prime is 164133615137003. The reversal of 164133615137000 is 731516331461.

It is a happy number.

164133615137000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164133615137003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4319286662 + ... + 4319324661.

It is an arithmetic number, because the mean of its divisors is an integer number (6316984530675).

Almost surely, 2^{164133615137000} is an apocalyptic number.

164133615137000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164133615137000 is an abundant number, since it is smaller than the sum of its proper divisors (240153394826200).

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

164133615137000 is a wasteful number, since it uses less digits than its factorization.

164133615137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8638611363 (or 8638611349 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 164133615137000 in words is "one hundred sixty-four trillion, one hundred thirty-three billion, six hundred fifteen million, one hundred thirty-seven thousand".