157020864 has 448 divisors, whose sum is σ = 600821760. Its totient is φ = 34836480.

The previous prime is 157020863. The next prime is 157020887. The reversal of 157020864 is 468020751.

157020864 is digitally balanced in base 2, because in such base 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (157020863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651627 + ... + 3651669.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 2^157020864 is an apocalyptic number.

157020864 is a gapful number since it is divisible by the number (14) 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 157020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300410880).

157020864 is an abundant number, since it is smaller than the sum of its proper divisors (443800896).

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

157020864 is a wasteful number, since it uses less digits than its factorization.

157020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 157020864 is about 12530.7966227212. The cubic root of 157020864 is about 539.4929671433.

The spelling of 157020864 in words is "one hundred fifty-seven million, twenty thousand, eight hundred sixty-four".