137157312 has 28 divisors (see below), whose sum is σ = 362895896. Its totient is φ = 45719040.

The previous prime is 137157311. The next prime is 137157347. The reversal of 137157312 is 213751731.

It is a self number, because there is not a number n which added to its sum of digits gives 137157312.

It is not an unprimeable number, because it can be changed into a prime (137157311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 356989 + ... + 357372.

Almost surely, 2^137157312 is an apocalyptic number.

137157312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137157312 is an abundant number, since it is smaller than the sum of its proper divisors (225738584).

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

137157312 is an equidigital number, since it uses as much as digits as its factorization.

137157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714376 (or 714366 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 137157312 is about 11711.4180183272. The cubic root of 137157312 is about 515.7109131261.

The spelling of 137157312 in words is "one hundred thirty-seven million, one hundred fifty-seven thousand, three hundred twelve".