157965525216234 has 192 divisors, whose sum is σ = 376745570772480. Its totient is φ = 47634337105920.

The previous prime is 157965525216221. The next prime is 157965525216269. The reversal of 157965525216234 is 432612525569751.

157965525216234 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 6 + 552 + 52 + 1 + 6 + 23 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 866266132 + ... + 866448464.

It is an arithmetic number, because the mean of its divisors is an integer number (1962216514440).

Almost surely, 2^{157965525216234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157965525216234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188372785386240).

157965525216234 is an abundant number, since it is smaller than the sum of its proper divisors (218780045556246).

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

157965525216234 is a wasteful number, since it uses less digits than its factorization.

157965525216234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183485 (or 183482 counting only the distinct ones).

The product of its digits is 136080000, while the sum is 63.

The spelling of 157965525216234 in words is "one hundred fifty-seven trillion, nine hundred sixty-five billion, five hundred twenty-five million, two hundred sixteen thousand, two hundred thirty-four".