157346496 has 224 divisors, whose sum is σ = 500359680. Its totient is φ = 48356352.

The previous prime is 157346443. The next prime is 157346521. The reversal of 157346496 is 694643751.

157346496 is a `hidden beast` number, since 157 + 3 + 4 + 6 + 496 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1470475 + ... + 1470581.

Almost surely, 2^157346496 is an apocalyptic number.

157346496 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 157346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

157346496 is an abundant number, since it is smaller than the sum of its proper divisors (343013184).

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

157346496 is a wasteful number, since it uses less digits than its factorization.

157346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 157346496 is about 12543.7831613911. The cubic root of 157346496 is about 539.8656455871.

The spelling of 157346496 in words is "one hundred fifty-seven million, three hundred forty-six thousand, four hundred ninety-six".