137953296 has 60 divisors (see below), whose sum is σ = 415781548. Its totient is φ = 42446592.

The previous prime is 137953273. The next prime is 137953307. The reversal of 137953296 is 692359731.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 104775696 = 5760^2 + 10236^2 .

It is a super-2 number, since 2×137953296² = 38062223754527232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34975 + ... + 38718.

Almost surely, 2^137953296 is an apocalyptic number.

137953296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137953296 is an abundant number, since it is smaller than the sum of its proper divisors (277828252).

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

137953296 is a wasteful number, since it uses less digits than its factorization.

137953296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73720 (or 73711 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 137953296 is about 11745.3521020019. The cubic root of 137953296 is about 516.7066215835.

The spelling of 137953296 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, two hundred ninety-six".