157359906 has 72 divisors (see below), whose sum is σ = 384791472. Its totient is φ = 46090800.

The previous prime is 157359893. The next prime is 157359913. The reversal of 157359906 is 609953751.

157359906 is a `hidden beast` number, since 1 + 57 + 3 + 599 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189865 + ... + 190691.

It is an arithmetic number, because the mean of its divisors is an integer number (5344326).

Almost surely, 2^157359906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157359906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192395736).

157359906 is an abundant number, since it is smaller than the sum of its proper divisors (227431566).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157359906 is a wasteful number, since it uses less digits than its factorization.

157359906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 157359906 is about 12544.3176777376. The cubic root of 157359906 is about 539.8809820004.

It can be divided in two parts, 157 and 359906, that added together give a palindrome (360063).

The spelling of 157359906 in words is "one hundred fifty-seven million, three hundred fifty-nine thousand, nine hundred six".