137132330400 has 1152 divisors, whose sum is σ = 559561685760. Its totient is φ = 32188907520.

The previous prime is 137132330371. The next prime is 137132330411. The reversal of 137132330400 is 4033231731.

137132330400 is a `hidden beast` number, since 1 + 37 + 1 + 323 + 304 + 0 + 0 = 666.

137132330400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 696103102 + ... + 696103298.

It is an arithmetic number, because the mean of its divisors is an integer number (485730630).

Almost surely, 2^137132330400 is an apocalyptic number.

137132330400 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 137132330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279780842880).

137132330400 is an abundant number, since it is smaller than the sum of its proper divisors (422429355360).

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

137132330400 is a wasteful number, since it uses less digits than its factorization.

137132330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 137132330400 in words is "one hundred thirty-seven billion, one hundred thirty-two million, three hundred thirty thousand, four hundred".