137299891600 has 135 divisors (see below), whose sum is σ = 335052852771. Its totient is φ = 54069196800.

The previous prime is 137299891543. The next prime is 137299891601. The reversal of 137299891600 is 6198992731.

The square root of 137299891600 is 370540.

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 5048386704 + 132251504896 = 71052^2 + 363664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137299891601) 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, 718847505 + ... + 718847695.

Almost surely, 2^137299891600 is an apocalyptic number.

137299891600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137299891600 is the 370540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137299891600

137299891600 is an abundant number, since it is smaller than the sum of its proper divisors (197752961171).

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

137299891600 is an frugal number, since it uses more digits than its factorization.

137299891600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 55.

The spelling of 137299891600 in words is "one hundred thirty-seven billion, two hundred ninety-nine million, eight hundred ninety-one thousand, six hundred".