157152240 has 120 divisors (see below), whose sum is σ = 603184608. Its totient is φ = 35919360.

The previous prime is 157152217. The next prime is 157152241. The reversal of 157152240 is 42251751.

157152240 is a `hidden beast` number, since 1 + 571 + 52 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157152241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10551 + ... + 20630.

Almost surely, 2^157152240 is an apocalyptic number.

157152240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157152240 is an abundant number, since it is smaller than the sum of its proper divisors (446032368).

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

157152240 is a wasteful number, since it uses less digits than its factorization.

157152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31207 (or 31198 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 157152240 is about 12536.0376515070. The cubic root of 157152240 is about 539.6433859444.

It can be divided in two parts, 15715 and 2240, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 157152240 in words is "one hundred fifty-seven million, one hundred fifty-two thousand, two hundred forty".