157893008 has 80 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 58779648.

The previous prime is 157893007. The next prime is 157893037. The reversal of 157893008 is 800398751.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (157893007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21563 + ... + 27941.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2^157893008 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 157893008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362240).

157893008 is an abundant number, since it is smaller than the sum of its proper divisors (240831472).

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

157893008 is a wasteful number, since it uses less digits than its factorization.

157893008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 157893008 is about 12565.5484559967. The cubic root of 157893008 is about 540.4899622546.

The spelling of 157893008 in words is "one hundred fifty-seven million, eight hundred ninety-three thousand, eight".