157152323328 has 1728 divisors, whose sum is σ = 634176345600. Its totient is φ = 33814609920.

The previous prime is 157152323327. The next prime is 157152323333. The reversal of 157152323328 is 823323251751.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 157152323328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157152323327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2965138150 + ... + 2965138202.

It is an arithmetic number, because the mean of its divisors is an integer number (367000200).

Almost surely, 2^157152323328 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 157152323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317088172800).

157152323328 is an abundant number, since it is smaller than the sum of its proper divisors (477024022272).

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

157152323328 is a wasteful number, since it uses less digits than its factorization.

157152323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 157152323328 in words is "one hundred fifty-seven billion, one hundred fifty-two million, three hundred twenty-three thousand, three hundred twenty-eight".