157236768 has 96 divisors (see below), whose sum is σ = 493920000. Its totient is φ = 48377088.

The previous prime is 157236749. The next prime is 157236769. The reversal of 157236768 is 867632751.

157236768 is a `hidden beast` number, since 1 + 572 + 3 + 6 + 76 + 8 = 666.

157236768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×157236768² = 49446802422171648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157236769) 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, 4233 + ... + 18231.

It is an arithmetic number, because the mean of its divisors is an integer number (5145000).

Almost surely, 2^157236768 is an apocalyptic number.

157236768 is a gapful number since it is divisible by the number (18) 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 157236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960000).

157236768 is an abundant number, since it is smaller than the sum of its proper divisors (336683232).

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

157236768 is a wasteful number, since it uses less digits than its factorization.

157236768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14017 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 157236768 is about 12539.4085984946. The cubic root of 157236768 is about 539.7401218658.

The spelling of 157236768 in words is "one hundred fifty-seven million, two hundred thirty-six thousand, seven hundred sixty-eight".