157402116 has 135 divisors (see below), whose sum is σ = 448029967. Its totient is φ = 48176640.

The previous prime is 157402109. The next prime is 157402117. The reversal of 157402116 is 611204751.

It is a happy number.

The square root of 157402116 is 12546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11088900 + 146313216 = 3330^2 + 12096^2 .

It is a super-2 number, since 2×157402116² = 49550852242554912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157402116.

It is not an unprimeable number, because it can be changed into a prime (157402117) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3839056 + ... + 3839096.

Almost surely, 2^157402116 is an apocalyptic number.

157402116 is the 12546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157402116

157402116 is an abundant number, since it is smaller than the sum of its proper divisors (290627851).

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

157402116 is a wasteful number, since it uses less digits than its factorization.

157402116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The cubic root of 157402116 is about 539.9292499901.

Adding to 157402116 its reverse (611204751), we get a palindrome (768606867).

The spelling of 157402116 in words is "one hundred fifty-seven million, four hundred two thousand, one hundred sixteen".