137053900800 has 624 divisors, whose sum is σ = 530187048000. Its totient is φ = 34610872320.

The previous prime is 137053900793. The next prime is 137053900843. The reversal of 137053900800 is 8009350731.

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 47 ways as a sum of consecutive naturals, for example, 52529896 + ... + 52532504.

Almost surely, 2^137053900800 is an apocalyptic number.

137053900800 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 137053900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265093524000).

137053900800 is an abundant number, since it is smaller than the sum of its proper divisors (393133147200).

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

137053900800 is a wasteful number, since it uses less digits than its factorization.

137053900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 137053900800 in words is "one hundred thirty-seven billion, fifty-three million, nine hundred thousand, eight hundred".