157542840 has 384 divisors, whose sum is σ = 660744000. Its totient is φ = 33094656.

The previous prime is 157542821. The next prime is 157542863. The reversal of 157542840 is 48245751.

157542840 is a `hidden beast` number, since 1 + 575 + 4 + 2 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157542795 and 157542804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687846 + ... + 688074.

Almost surely, 2^157542840 is an apocalyptic number.

157542840 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 157542840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330372000).

157542840 is an abundant number, since it is smaller than the sum of its proper divisors (503201160).

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

157542840 is a wasteful number, since it uses less digits than its factorization.

157542840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 157542840 is about 12551.6070684196. The cubic root of 157542840 is about 540.0901084198.

The spelling of 157542840 in words is "one hundred fifty-seven million, five hundred forty-two thousand, eight hundred forty".