137529730 has 32 divisors (see below), whose sum is σ = 267156288. Its totient is φ = 50673600.

The previous prime is 137529713. The next prime is 137529731. The reversal of 137529730 is 37925731.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 137529730.

It is not an unprimeable number, because it can be changed into a prime (137529731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89065 + ... + 90595.

It is an arithmetic number, because the mean of its divisors is an integer number (8348634).

Almost surely, 2^137529730 is an apocalyptic number.

137529730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137529730 is a deficient number, since it is larger than the sum of its proper divisors (129626558).

137529730 is a wasteful number, since it uses less digits than its factorization.

137529730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242.

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 137529730 is about 11727.3070225009. The cubic root of 137529730 is about 516.1772546690.

The spelling of 137529730 in words is "one hundred thirty-seven million, five hundred twenty-nine thousand, seven hundred thirty".