137765300400 has 1440 divisors, whose sum is σ = 645262450560. Its totient is φ = 26382827520.

The previous prime is 137765300399. The next prime is 137765300447. The reversal of 137765300400 is 4003567731.

137765300400 is a `hidden beast` number, since 13 + 7 + 76 + 530 + 0 + 40 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 161506374 + ... + 161507226.

It is an arithmetic number, because the mean of its divisors is an integer number (448098924).

Almost surely, 2^137765300400 is an apocalyptic number.

137765300400 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 137765300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322631225280).

137765300400 is an abundant number, since it is smaller than the sum of its proper divisors (507497150160).

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

137765300400 is a wasteful number, since it uses less digits than its factorization.

137765300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 137765300400 in words is "one hundred thirty-seven billion, seven hundred sixty-five million, three hundred thousand, four hundred".