137169312 has 192 divisors, whose sum is σ = 434294784. Its totient is φ = 37094400.

The previous prime is 137169293. The next prime is 137169367. The reversal of 137169312 is 213961731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358062 + ... + 1358162.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952).

Almost surely, 2^137169312 is an apocalyptic number.

137169312 is a gapful number since it is divisible by the number (12) 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 137169312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217147392).

137169312 is an abundant number, since it is smaller than the sum of its proper divisors (297125472).

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

137169312 is a wasteful number, since it uses less digits than its factorization.

137169312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 137169312 is about 11711.9303276616. The cubic root of 137169312 is about 515.7259526706.

The spelling of 137169312 in words is "one hundred thirty-seven million, one hundred sixty-nine thousand, three hundred twelve".