157281696 has 384 divisors, whose sum is σ = 575769600. Its totient is φ = 41057280.

The previous prime is 157281689. The next prime is 157281713. The reversal of 157281696 is 696182751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2347455 + ... + 2347521.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^157281696 is an apocalyptic number.

157281696 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 157281696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

157281696 is an abundant number, since it is smaller than the sum of its proper divisors (418487904).

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

157281696 is a wasteful number, since it uses less digits than its factorization.

157281696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 157281696 is about 12541.1999425892. The cubic root of 157281696 is about 539.7915244634.

It can be divided in two parts, 15728 and 1696, that added together give a square (17424 = 132²).

The spelling of 157281696 in words is "one hundred fifty-seven million, two hundred eighty-one thousand, six hundred ninety-six".