137923104400 has 135 divisors (see below), whose sum is σ = 342966670473. Its totient is φ = 53300457600.

The previous prime is 137923104359. The next prime is 137923104433. The reversal of 137923104400 is 4401329731.

The square root of 137923104400 is 371380.

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

It can be written as a sum of positive squares in only one way, i.e., 49652317584 + 88270786816 = 222828^2 + 297104^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230255301 + ... + 230255899.

Almost surely, 2^137923104400 is an apocalyptic number.

137923104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137923104400 is the 371380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137923104400

137923104400 is an abundant number, since it is smaller than the sum of its proper divisors (205043566073).

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

137923104400 is an frugal number, since it uses more digits than its factorization.

137923104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 137923104400 in words is "one hundred thirty-seven billion, nine hundred twenty-three million, one hundred four thousand, four hundred".