157061664 has 144 divisors (see below), whose sum is σ = 472215744. Its totient is φ = 49420800.

The previous prime is 157061629. The next prime is 157061699. The reversal of 157061664 is 466160751.

157061664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157061629) and next prime (157061699).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867654 + ... + 867834.

It is an arithmetic number, because the mean of its divisors is an integer number (3279276).

Almost surely, 2^157061664 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 157061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236107872).

157061664 is an abundant number, since it is smaller than the sum of its proper divisors (315154080).

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

157061664 is a wasteful number, since it uses less digits than its factorization.

157061664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 157061664 is about 12532.4245060563. The cubic root of 157061664 is about 539.5396900359.

The spelling of 157061664 in words is "one hundred fifty-seven million, sixty-one thousand, six hundred sixty-four".