157814496 has 216 divisors, whose sum is σ = 534426984. Its totient is φ = 44029440.

The previous prime is 157814483. The next prime is 157814507. The reversal of 157814496 is 694418751.

157814496 is a `hidden beast` number, since 157 + 8 + 1 + 4 + 496 = 666.

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 35 ways as a sum of consecutive naturals, for example, 747831 + ... + 748041.

It is an arithmetic number, because the mean of its divisors is an integer number (2474199).

Almost surely, 2^157814496 is an apocalyptic number.

157814496 is a gapful number since it is divisible by the number (16) 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 157814496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267213492).

157814496 is an abundant number, since it is smaller than the sum of its proper divisors (376612488).

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

157814496 is a wasteful number, since it uses less digits than its factorization.

157814496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 157814496 is about 12562.4239699192. The cubic root of 157814496 is about 540.4003615307.

The spelling of 157814496 in words is "one hundred fifty-seven million, eight hundred fourteen thousand, four hundred ninety-six".