157447296 has 96 divisors (see below), whose sum is σ = 458066700. Its totient is φ = 51904512.

The previous prime is 157447291. The next prime is 157447309. The reversal of 157447296 is 692744751.

157447296 is a `hidden beast` number, since 1 + 574 + 4 + 72 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 19713600 = 11736^2 + 4440^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (157447291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111040 + ... + 112448.

Almost surely, 2^157447296 is an apocalyptic number.

157447296 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 157447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229033350).

157447296 is an abundant number, since it is smaller than the sum of its proper divisors (300619404).

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

157447296 is a wasteful number, since it uses less digits than its factorization.

157447296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1511 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 157447296 is about 12547.8004446995. The cubic root of 157447296 is about 539.9809046746.

The spelling of 157447296 in words is "one hundred fifty-seven million, four hundred forty-seven thousand, two hundred ninety-six".