157612200 has 192 divisors, whose sum is σ = 515592000. Its totient is φ = 39782400.

The previous prime is 157612199. The next prime is 157612249. The reversal of 157612200 is 2216751.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057726 + ... + 1057874.

It is an arithmetic number, because the mean of its divisors is an integer number (2685375).

Almost surely, 2^157612200 is an apocalyptic number.

157612200 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 157612200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796000).

157612200 is an abundant number, since it is smaller than the sum of its proper divisors (357979800).

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

157612200 is a wasteful number, since it uses less digits than its factorization.

157612200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 157612200 is about 12554.3697571802. The cubic root of 157612200 is about 540.1693570309.

Adding to 157612200 its reverse (2216751), we get a palindrome (159828951).

The spelling of 157612200 in words is "one hundred fifty-seven million, six hundred twelve thousand, two hundred".