157601385 has 12 divisors (see below), whose sum is σ = 273175812. Its totient is φ = 84054048.

The previous prime is 157601363. The next prime is 157601393. The reversal of 157601385 is 583106751.

157601385 is a `hidden beast` number, since 1 + 576 + 0 + 1 + 3 + 85 = 666.

157601385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 50851161 = 10332^2 + 7131^2 .

It is not a de Polignac number, because 157601385 - 2¹² = 157597289 is a prime.

It is a super-3 number, since 3×157601385³ (a number of 26 digits) contains 333 as substring.

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, 1751082 + ... + 1751171.

It is an arithmetic number, because the mean of its divisors is an integer number (22764651).

Almost surely, 2^157601385 is an apocalyptic number.

157601385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157601385 is a deficient number, since it is larger than the sum of its proper divisors (115574427).

157601385 is a wasteful number, since it uses less digits than its factorization.

157601385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502264 (or 3502261 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 157601385 is about 12553.9390232707. The cubic root of 157601385 is about 540.1570016734.

The spelling of 157601385 in words is "one hundred fifty-seven million, six hundred one thousand, three hundred eighty-five".