157615200 has 144 divisors (see below), whose sum is σ = 570119760. Its totient is φ = 42024960.

The previous prime is 157615151. The next prime is 157615201. The reversal of 157615200 is 2516751.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157615201) 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, 17952 + ... + 25248.

It is an arithmetic number, because the mean of its divisors is an integer number (3959165).

Almost surely, 2^157615200 is an apocalyptic number.

157615200 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 157615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285059880).

157615200 is an abundant number, since it is smaller than the sum of its proper divisors (412504560).

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

157615200 is a wasteful number, since it uses less digits than its factorization.

157615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157615200 is about 12554.4892369224. The cubic root of 157615200 is about 540.1727842144.

The spelling of 157615200 in words is "one hundred fifty-seven million, six hundred fifteen thousand, two hundred".