137700306 has 24 divisors (see below), whose sum is σ = 315901404. Its totient is φ = 43200000.

The previous prime is 137700253. The next prime is 137700317. The reversal of 137700306 is 603007731.

It can be written as a sum of positive squares in 2 ways, for example, as 130165281 + 7535025 = 11409^2 + 2745^2 .

It is a super-2 number, since 2×137700306² = 37922748544987272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137700306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224695 + ... + 225306.

Almost surely, 2^137700306 is an apocalyptic number.

137700306 is an abundant number, since it is smaller than the sum of its proper divisors (178201098).

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

137700306 is a wasteful number, since it uses less digits than its factorization.

137700306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450026 (or 450023 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 137700306 is about 11734.5773677623. The cubic root of 137700306 is about 516.3905687289.

The spelling of 137700306 in words is "one hundred thirty-seven million, seven hundred thousand, three hundred six".