137002432 has 84 divisors (see below), whose sum is σ = 321106800. Its totient is φ = 57972096.

The previous prime is 137002399. The next prime is 137002433. The reversal of 137002432 is 234200731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137002433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1734169 + ... + 1734247.

It is an arithmetic number, because the mean of its divisors is an integer number (3822700).

Almost surely, 2^137002432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160553400).

137002432 is an abundant number, since it is smaller than the sum of its proper divisors (184104368).

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

137002432 is an frugal number, since it uses more digits than its factorization.

137002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 137002432 is about 11704.8038001497. The cubic root of 137002432 is about 515.5167239657.

Multiplying 137002432 by its product of nonzero digits (1008), we get a square (138098451456 = 371616²).

The spelling of 137002432 in words is "one hundred thirty-seven million, two thousand, four hundred thirty-two".