137561601 has 32 divisors (see below), whose sum is σ = 198696960. Its totient is φ = 84470400.

The previous prime is 137561581. The next prime is 137561609. The reversal of 137561601 is 106165731.

It is not a de Polignac number, because 137561601 - 2¹⁸ = 137299457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137561609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163540 + ... + 164378.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2^137561601 is an apocalyptic number.

It is an amenable number.

137561601 is a deficient number, since it is larger than the sum of its proper divisors (61135359).

137561601 is a wasteful number, since it uses less digits than its factorization.

137561601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 137561601 is about 11728.6657808977. The cubic root of 137561601 is about 516.2171243871.

The spelling of 137561601 in words is "one hundred thirty-seven million, five hundred sixty-one thousand, six hundred one".