157964742 has 80 divisors (see below), whose sum is σ = 385296912. Its totient is φ = 48081600.

The previous prime is 157964717. The next prime is 157964749. The reversal of 157964742 is 247469751.

157964742 is a `hidden beast` number, since 1 + 579 + 6 + 4 + 74 + 2 = 666.

157964742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157964749) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224992 + ... + 225692.

Almost surely, 2^157964742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157964742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192648456).

157964742 is an abundant number, since it is smaller than the sum of its proper divisors (227332170).

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

157964742 is a wasteful number, since it uses less digits than its factorization.

157964742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

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

The square root of 157964742 is about 12568.4025237896. The cubic root of 157964742 is about 540.5718017174.

The spelling of 157964742 in words is "one hundred fifty-seven million, nine hundred sixty-four thousand, seven hundred forty-two".