157939200 has 240 divisors, whose sum is σ = 580982160. Its totient is φ = 42024960.

The previous prime is 157939189. The next prime is 157939207. The reversal of 157939200 is 2939751.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157939207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345372 + ... + 345828.

It is an arithmetic number, because the mean of its divisors is an integer number (2420759).

Almost surely, 2^157939200 is an apocalyptic number.

157939200 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 157939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290491080).

157939200 is an abundant number, since it is smaller than the sum of its proper divisors (423042960).

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

157939200 is an equidigital number, since it uses as much as digits as its factorization.

157939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 157939200 is about 12567.3863631226. The cubic root of 157939200 is about 540.5426643520.

The spelling of 157939200 in words is "one hundred fifty-seven million, nine hundred thirty-nine thousand, two hundred".