137341395216 has 135 divisors (see below), whose sum is σ = 389855883781. Its totient is φ = 45135628032.

The previous prime is 137341395203. The next prime is 137341395239. The reversal of 137341395216 is 612593143731.

The square root of 137341395216 is 370596.

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

137341395216 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 41 + 395 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26372460816 + 110968934400 = 162396^2 + 333120^2 .

It is a Duffinian number.

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, 395796355 + ... + 395796701.

Almost surely, 2^137341395216 is an apocalyptic number.

137341395216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137341395216 is the 370596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137341395216

137341395216 is an abundant number, since it is smaller than the sum of its proper divisors (252514488565).

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

137341395216 is an frugal number, since it uses more digits than its factorization.

137341395216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 441 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 137341395216 in words is "one hundred thirty-seven billion, three hundred forty-one million, three hundred ninety-five thousand, two hundred sixteen".