137100110400 has 504 divisors, whose sum is σ = 537125350944. Its totient is φ = 32890060800.

The previous prime is 137100110387. The next prime is 137100110429. The reversal of 137100110400 is 4011001731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15360339 + ... + 15369261.

Almost surely, 2^137100110400 is an apocalyptic number.

137100110400 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 137100110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268562675472).

137100110400 is an abundant number, since it is smaller than the sum of its proper divisors (400025240544).

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

137100110400 is a wasteful number, since it uses less digits than its factorization.

137100110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9059 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 137100110400 in words is "one hundred thirty-seven billion, one hundred million, one hundred ten thousand, four hundred".