137394432 has 162 divisors, whose sum is σ = 461196918. Its totient is φ = 39223296.

The previous prime is 137394419. The next prime is 137394437. The reversal of 137394432 is 234493731.

137394432 is a `hidden beast` number, since 137 + 3 + 94 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 28901376 = 10416^2 + 5376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137394437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112288 + ... + 113504.

Almost surely, 2^137394432 is an apocalyptic number.

137394432 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 137394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230598459).

137394432 is an abundant number, since it is smaller than the sum of its proper divisors (323802486).

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

137394432 is a wasteful number, since it uses less digits than its factorization.

137394432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1229 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 137394432 is about 11721.5371005683. The cubic root of 137394432 is about 516.0079320937.

The spelling of 137394432 in words is "one hundred thirty-seven million, three hundred ninety-four thousand, four hundred thirty-two".