157633329000 has 1024 divisors, whose sum is σ = 627554304000. Its totient is φ = 32115916800.

The previous prime is 157633328947. The next prime is 157633329031. The reversal of 157633329000 is 923336751.

157633329000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157633329000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 816752904 + ... + 816753096.

It is an arithmetic number, because the mean of its divisors is an integer number (612846000).

Almost surely, 2^157633329000 is an apocalyptic number.

157633329000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157633329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313777152000).

157633329000 is an abundant number, since it is smaller than the sum of its proper divisors (469920975000).

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

157633329000 is a wasteful number, since it uses less digits than its factorization.

157633329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The spelling of 157633329000 in words is "one hundred fifty-seven billion, six hundred thirty-three million, three hundred twenty-nine thousand".