157564134 has 192 divisors, whose sum is σ = 452874240. Its totient is φ = 38465280.

The previous prime is 157564133. The next prime is 157564151. The reversal of 157564134 is 431465751.

157564134 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 641 + 3 + 4 = 666.

157564134 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 (157564133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1472509 + ... + 1472615.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^157564134 is an apocalyptic number.

157564134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157564134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

157564134 is an abundant number, since it is smaller than the sum of its proper divisors (295310106).

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

157564134 is a wasteful number, since it uses less digits than its factorization.

157564134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 157564134 is about 12552.4552976699. The cubic root of 157564134 is about 540.1144407657.

The spelling of 157564134 in words is "one hundred fifty-seven million, five hundred sixty-four thousand, one hundred thirty-four".