137162970 has 160 divisors (see below), whose sum is σ = 446611968. Its totient is φ = 29486592.

The previous prime is 137162951. The next prime is 137163017. The reversal of 137162970 is 79261731.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95679 + ... + 97101.

Almost surely, 2^137162970 is an apocalyptic number.

137162970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137162970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223305984).

137162970 is an abundant number, since it is smaller than the sum of its proper divisors (309448998).

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

137162970 is a wasteful number, since it uses less digits than its factorization.

137162970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 137162970 is about 11711.6595749706. The cubic root of 137162970 is about 515.7180043806.

The spelling of 137162970 in words is "one hundred thirty-seven million, one hundred sixty-two thousand, nine hundred seventy".