157742136 has 96 divisors (see below), whose sum is σ = 456393600. Its totient is φ = 49109760.

The previous prime is 157742093. The next prime is 157742141. The reversal of 157742136 is 631247751.

It is a happy number.

157742136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157742136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63510 + ... + 65946.

It is an arithmetic number, because the mean of its divisors is an integer number (4754100).

Almost surely, 2^157742136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157742136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228196800).

157742136 is an abundant number, since it is smaller than the sum of its proper divisors (298651464).

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

157742136 is a wasteful number, since it uses less digits than its factorization.

157742136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2502 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 157742136 is about 12559.5436222818. The cubic root of 157742136 is about 540.3177553715.

Adding to 157742136 its reverse (631247751), we get a palindrome (788989887).

The spelling of 157742136 in words is "one hundred fifty-seven million, seven hundred forty-two thousand, one hundred thirty-six".