157007200 has 216 divisors, whose sum is σ = 466563888. Its totient is φ = 50519040.

The previous prime is 157007173. The next prime is 157007239. The reversal of 157007200 is 2700751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2962374 + ... + 2962426.

It is an arithmetic number, because the mean of its divisors is an integer number (2160018).

Almost surely, 2^157007200 is an apocalyptic number.

157007200 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 157007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233281944).

157007200 is an abundant number, since it is smaller than the sum of its proper divisors (309556688).

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

157007200 is a wasteful number, since it uses less digits than its factorization.

157007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 157007200 is about 12530.2513941261. The cubic root of 157007200 is about 539.4773177459.

Adding to 157007200 its reverse (2700751), we get a palindrome (159707951).

The spelling of 157007200 in words is "one hundred fifty-seven million, seven thousand, two hundred".