157459680 has 384 divisors, whose sum is σ = 650280960. Its totient is φ = 34836480.

The previous prime is 157459649. The next prime is 157459693. The reversal of 157459680 is 86954751.

157459680 is a `hidden beast` number, since 1 + 57 + 4 + 596 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1239777 + ... + 1239903.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^157459680 is an apocalyptic number.

157459680 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 157459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

157459680 is an abundant number, since it is smaller than the sum of its proper divisors (492821280).

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

157459680 is a wasteful number, since it uses less digits than its factorization.

157459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 157459680 is about 12548.2939079382. The cubic root of 157459680 is about 539.9950616832.

It can be divided in two parts, 15745 and 9680, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 157459680 in words is "one hundred fifty-seven million, four hundred fifty-nine thousand, six hundred eighty".