137501328 has 40 divisors (see below), whose sum is σ = 373909600. Its totient is φ = 43421184.

The previous prime is 137501327. The next prime is 137501339. The reversal of 137501328 is 823105731.

It is a junction number, because it is equal to n+sod(n) for n = 137501295 and 137501304.

It is not an unprimeable number, because it can be changed into a prime (137501323) 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, 74473 + ... + 76296.

It is an arithmetic number, because the mean of its divisors is an integer number (9347740).

Almost surely, 2^137501328 is an apocalyptic number.

It is an amenable number.

137501328 is an abundant number, since it is smaller than the sum of its proper divisors (236408272).

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

137501328 is a wasteful number, since it uses less digits than its factorization.

137501328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150799 (or 150793 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 137501328 is about 11726.0960255321. The cubic root of 137501328 is about 516.1417193810.

The spelling of 137501328 in words is "one hundred thirty-seven million, five hundred one thousand, three hundred twenty-eight".