157242096 has 120 divisors (see below), whose sum is σ = 489383856. Its totient is φ = 46725120.

The previous prime is 157242091. The next prime is 157242133. The reversal of 157242096 is 690242751.

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 157242096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157242091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83016 + ... + 84888.

Almost surely, 2^157242096 is an apocalyptic number.

157242096 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 157242096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244691928).

157242096 is an abundant number, since it is smaller than the sum of its proper divisors (332141760).

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

157242096 is a wasteful number, since it uses less digits than its factorization.

157242096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157242096 is about 12539.6210469057. The cubic root of 157242096 is about 539.7462181983.

It can be divided in two parts, 1572420 and 96, that added together give a square (1572516 = 1254²).

The spelling of 157242096 in words is "one hundred fifty-seven million, two hundred forty-two thousand, ninety-six".