157601407 has 16 divisors (see below), whose sum is σ = 171908352. Its totient is φ = 143902080.

The previous prime is 157601393. The next prime is 157601413. The reversal of 157601407 is 704106751.

It is a de Polignac number, because none of the positive numbers 2^k-157601407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157602407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121432 + ... + 122722.

It is an arithmetic number, because the mean of its divisors is an integer number (10744272).

Almost surely, 2^157601407 is an apocalyptic number.

157601407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

157601407 is a deficient number, since it is larger than the sum of its proper divisors (14306945).

157601407 is a wasteful number, since it uses less digits than its factorization.

157601407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 157601407 is about 12553.9398994897. The cubic root of 157601407 is about 540.1570268074.

The spelling of 157601407 in words is "one hundred fifty-seven million, six hundred one thousand, four hundred seven".