157307136 has 144 divisors (see below), whose sum is σ = 495465600. Its totient is φ = 43352064.

The previous prime is 157307123. The next prime is 157307147. The reversal of 157307136 is 631703751.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157307097 and 157307106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155400 + ... + 156408.

Almost surely, 2^157307136 is an apocalyptic number.

157307136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247732800).

157307136 is an abundant number, since it is smaller than the sum of its proper divisors (338158464).

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

157307136 is a wasteful number, since it uses less digits than its factorization.

157307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 157307136 is about 12542.2141585926. The cubic root of 157307136 is about 539.8206262945.

The spelling of 157307136 in words is "one hundred fifty-seven million, three hundred seven thousand, one hundred thirty-six".