157052064 has 96 divisors (see below), whose sum is σ = 451471104. Its totient is φ = 47508480.

The previous prime is 157052059. The next prime is 157052083. The reversal of 157052064 is 460250751.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75097 + ... + 77159.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2^157052064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225735552).

157052064 is an abundant number, since it is smaller than the sum of its proper divisors (294419040).

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

157052064 is a wasteful number, since it uses less digits than its factorization.

157052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 157052064 is about 12532.0414937072. The cubic root of 157052064 is about 539.5286971421.

It can be divided in two parts, 15705206 and 4, that added together give a triangular number (15705210 = T₅₆₀₄).

The spelling of 157052064 in words is "one hundred fifty-seven million, fifty-two thousand, sixty-four".