157920840 has 384 divisors, whose sum is σ = 666731520. Its totient is φ = 32659200.

The previous prime is 157920839. The next prime is 157920853. The reversal of 157920840 is 48029751.

157920840 is a `hidden beast` number, since 1 + 579 + 2 + 0 + 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 = 157920795 and 157920804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748335 + ... + 748545.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^157920840 is an apocalyptic number.

157920840 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 157920840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333365760).

157920840 is an abundant number, since it is smaller than the sum of its proper divisors (508810680).

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

157920840 is a wasteful number, since it uses less digits than its factorization.

157920840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 157920840 is about 12566.6558797478. The cubic root of 157920840 is about 540.5217180049.

The spelling of 157920840 in words is "one hundred fifty-seven million, nine hundred twenty thousand, eight hundred forty".