137200044442032 has 480 divisors, whose sum is σ = 456886796498496. Its totient is φ = 37887049728000.

The previous prime is 137200044442003. The next prime is 137200044442057. The reversal of 137200044442032 is 230244440002731.

137200044442032 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 0 + 0 + 0 + 4 + 444 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 800881378 + ... + 801052670.

Almost surely, 2^{137200044442032} is an apocalyptic number.

137200044442032 is a gapful number since it is divisible by the number (12) 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 137200044442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228443398249248).

137200044442032 is an abundant number, since it is smaller than the sum of its proper divisors (319686752056464).

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

137200044442032 is a wasteful number, since it uses less digits than its factorization.

137200044442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171829 (or 171820 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 137200044442032 its reverse (230244440002731), we get a palindrome (367444484444763).

The spelling of 137200044442032 in words is "one hundred thirty-seven trillion, two hundred billion, forty-four million, four hundred forty-two thousand, thirty-two".