137212195728 has 160 divisors (see below), whose sum is σ = 383246899200. Its totient is φ = 42161914368.

The previous prime is 137212195717. The next prime is 137212195763. The reversal of 137212195728 is 827591212731.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10542601 + ... + 10555607.

It is an arithmetic number, because the mean of its divisors is an integer number (2395293120).

Almost surely, 2^137212195728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137212195728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191623449600).

137212195728 is an abundant number, since it is smaller than the sum of its proper divisors (246034703472).

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

137212195728 is a wasteful number, since it uses less digits than its factorization.

137212195728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13349 (or 13343 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The spelling of 137212195728 in words is "one hundred thirty-seven billion, two hundred twelve million, one hundred ninety-five thousand, seven hundred twenty-eight".