137422358928 has 120 divisors (see below), whose sum is σ = 403792459200. Its totient is φ = 43567679232.

The previous prime is 137422358917. The next prime is 137422358929. The reversal of 137422358928 is 829853224731.

137422358928 is a `hidden beast` number, since 1 + 37 + 4 + 2 + 2 + 3 + 589 + 28 = 666.

It is a super-2 number, since 2×137422358928² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137422358929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34213 + ... + 525371.

It is an arithmetic number, because the mean of its divisors is an integer number (3364937160).

Almost surely, 2^137422358928 is an apocalyptic number.

137422358928 is a gapful number since it is divisible by the number (18) 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 137422358928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201896229600).

137422358928 is an abundant number, since it is smaller than the sum of its proper divisors (266370100272).

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

137422358928 is a wasteful number, since it uses less digits than its factorization.

137422358928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491269 (or 491260 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 137422358928 in words is "one hundred thirty-seven billion, four hundred twenty-two million, three hundred fifty-eight thousand, nine hundred twenty-eight".