157008933900 has 1728 divisors, whose sum is σ = 685792773120. Its totient is φ = 30233088000.

The previous prime is 157008933899. The next prime is 157008933929. The reversal of 157008933900 is 9339800751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1554543850 + ... + 1554543950.

Almost surely, 2^157008933900 is an apocalyptic number.

157008933900 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 157008933900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342896386560).

157008933900 is an abundant number, since it is smaller than the sum of its proper divisors (528783839220).

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

157008933900 is a wasteful number, since it uses less digits than its factorization.

157008933900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 157008933900 in words is "one hundred fifty-seven billion, eight million, nine hundred thirty-three thousand, nine hundred".