137209772700 has 1728 divisors, whose sum is σ = 633319464960. Its totient is φ = 23970816000.

The previous prime is 137209772699. The next prime is 137209772719. The reversal of 137209772700 is 7277902731.

137209772700 is a `hidden beast` number, since 1 + 372 + 0 + 9 + 7 + 7 + 270 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4426121685 + ... + 4426121715.

It is an arithmetic number, because the mean of its divisors is an integer number (366504320).

Almost surely, 2^137209772700 is an apocalyptic number.

137209772700 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 137209772700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316659732480).

137209772700 is an abundant number, since it is smaller than the sum of its proper divisors (496109692260).

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

137209772700 is a wasteful number, since it uses less digits than its factorization.

137209772700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

It can be divided in two parts, 137209 and 772700, that added together give a palindrome (909909).

The spelling of 137209772700 in words is "one hundred thirty-seven billion, two hundred nine million, seven hundred seventy-two thousand, seven hundred".