137162268800 has 72 divisors (see below), whose sum is σ = 338885429085. Its totient is φ = 54856527360.

The previous prime is 137162268791. The next prime is 137162268823. The reversal of 137162268800 is 8862261731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 134419023424 + 2743245376 = 366632^2 + 52376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=261880.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20947127 + ... + 20953673.

Almost surely, 2^137162268800 is an apocalyptic number.

137162268800 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 137162268800

137162268800 is an abundant number, since it is smaller than the sum of its proper divisors (201723160285).

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

137162268800 is an frugal number, since it uses more digits than its factorization.

137162268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13118 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 137162268800 in words is "one hundred thirty-seven billion, one hundred sixty-two million, two hundred sixty-eight thousand, eight hundred".