157631040 has 252 divisors, whose sum is σ = 631269756. Its totient is φ = 35997696.

The previous prime is 157630961. The next prime is 157631057. The reversal of 157631040 is 40136751.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 130507776 = 5208^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) 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 = 157630995 and 157631013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140562 + ... + 141678.

Almost surely, 2^157631040 is an apocalyptic number.

157631040 is a gapful number since it is divisible by the number (10) 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 157631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315634878).

157631040 is an abundant number, since it is smaller than the sum of its proper divisors (473638716).

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

157631040 is a wasteful number, since it uses less digits than its factorization.

157631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 157631040 is about 12555.1200711104. The cubic root of 157631040 is about 540.1908790223.

Adding to 157631040 its reverse (40136751), we get a palindrome (197767791).

The spelling of 157631040 in words is "one hundred fifty-seven million, six hundred thirty-one thousand, forty".