137132401 has 8 divisors (see below), whose sum is σ = 156797120. Its totient is φ = 117486288.

The previous prime is 137132339. The next prime is 137132407. The reversal of 137132401 is 104231731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137132401 - 2⁷ = 137132273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137132407) 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 7 ways as a sum of consecutive naturals, for example, 19570 + ... + 25636.

It is an arithmetic number, because the mean of its divisors is an integer number (19599640).

Almost surely, 2^137132401 is an apocalyptic number.

It is an amenable number.

137132401 is a deficient number, since it is larger than the sum of its proper divisors (19664719).

137132401 is an equidigital number, since it uses as much as digits as its factorization.

137132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 137132401 is about 11710.3544352850. The cubic root of 137132401 is about 515.6796894842.

The spelling of 137132401 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, four hundred one".