137532816 has 50 divisors (see below), whose sum is σ = 398063622. Its totient is φ = 45843840.

The previous prime is 137532739. The next prime is 137532841. The reversal of 137532816 is 618235731.

137532816 is a `hidden beast` number, since 1 + 375 + 3 + 281 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 4822416 = 11520^2 + 2196^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51765 + ... + 54356.

Almost surely, 2^137532816 is an apocalyptic number.

137532816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137532816 is an abundant number, since it is smaller than the sum of its proper divisors (260530806).

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

137532816 is a wasteful number, since it uses less digits than its factorization.

137532816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106141 (or 106126 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137532816 is about 11727.4385950215. The cubic root of 137532816 is about 516.1811154369.

It can be divided in two parts, 1375 and 32816, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 137532816 in words is "one hundred thirty-seven million, five hundred thirty-two thousand, eight hundred sixteen".