137520601 has 16 divisors (see below), whose sum is σ = 145650960. Its totient is φ = 129669120.

The previous prime is 137520589. The next prime is 137520629. The reversal of 137520601 is 106025731.

It can be written as a sum of positive squares in 8 ways, for example, as 24651225 + 112869376 = 4965^2 + 10624^2 .

It is a cyclic number.

It is not a de Polignac number, because 137520601 - 2⁵ = 137520569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137520631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407905 + ... + 408241.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^137520601 is an apocalyptic number.

It is an amenable number.

137520601 is a deficient number, since it is larger than the sum of its proper divisors (8130359).

137520601 is a wasteful number, since it uses less digits than its factorization.

137520601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 137520601 is about 11726.9177962498. The cubic root of 137520601 is about 516.1658334139.

The spelling of 137520601 in words is "one hundred thirty-seven million, five hundred twenty thousand, six hundred one".