137295816 has 32 divisors (see below), whose sum is σ = 392274240. Its totient is φ = 39227328.

The previous prime is 137295803. The next prime is 137295817. The reversal of 137295816 is 618592731.

It is a super-2 number, since 2×137295816² = 37700282182211712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (137295817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408451 + ... + 408786.

It is an arithmetic number, because the mean of its divisors is an integer number (12258570).

Almost surely, 2^137295816 is an apocalyptic number.

It is an amenable number.

137295816 is an abundant number, since it is smaller than the sum of its proper divisors (254978424).

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

137295816 is a wasteful number, since it uses less digits than its factorization.

137295816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817253 (or 817249 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 137295816 is about 11717.3297299342. The cubic root of 137295816 is about 515.8844462117.

The spelling of 137295816 in words is "one hundred thirty-seven million, two hundred ninety-five thousand, eight hundred sixteen".