137551974400 has 351 divisors, whose sum is σ = 365982177483. Its totient is φ = 51270451200.

The previous prime is 137551974389. The next prime is 137551974409. The reversal of 137551974400 is 4479155731.

The square root of 137551974400 is 370880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 63358930944 + 74193043456 = 251712^2 + 272384^2 .

It is a super-2 number, since 2×137551974400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137551974409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2254950370 + ... + 2254950430.

Almost surely, 2^137551974400 is an apocalyptic number.

137551974400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137551974400 is the 370880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137551974400

137551974400 is an abundant number, since it is smaller than the sum of its proper divisors (228430203083).

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

137551974400 is an frugal number, since it uses more digits than its factorization.

137551974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 137551974400 in words is "one hundred thirty-seven billion, five hundred fifty-one million, nine hundred seventy-four thousand, four hundred".