137372556400 has 120 divisors (see below), whose sum is σ = 332982625248. Its totient is φ = 54460800000.

The previous prime is 137372556383. The next prime is 137372556427. The reversal of 137372556400 is 4655273731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22513350 + ... + 22519450.

Almost surely, 2^137372556400 is an apocalyptic number.

137372556400 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 137372556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166491312624).

137372556400 is an abundant number, since it is smaller than the sum of its proper divisors (195610068848).

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

137372556400 is a wasteful number, since it uses less digits than its factorization.

137372556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6611 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 43.

The spelling of 137372556400 in words is "one hundred thirty-seven billion, three hundred seventy-two million, five hundred fifty-six thousand, four hundred".