157198496 has 96 divisors (see below), whose sum is σ = 391466880. Its totient is φ = 60466176.

The previous prime is 157198493. The next prime is 157198499. The reversal of 157198496 is 694891751.

It is an interprime number because it is at equal distance from previous prime (157198493) and next prime (157198499).

It is a super-2 number, since 2×157198496² = 49422734289324032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157198493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107015 + ... + 108473.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2^157198496 is an apocalyptic number.

157198496 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 157198496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195733440).

157198496 is an abundant number, since it is smaller than the sum of its proper divisors (234268384).

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

157198496 is a wasteful number, since it uses less digits than its factorization.

157198496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its digits is 544320, while the sum is 50.

The square root of 157198496 is about 12537.8824368392. The cubic root of 157198496 is about 539.6963267441.

The spelling of 157198496 in words is "one hundred fifty-seven million, one hundred ninety-eight thousand, four hundred ninety-six".