157199616 has 324 divisors, whose sum is σ = 566940192. Its totient is φ = 42550272.

The previous prime is 157199591. The next prime is 157199639. The reversal of 157199616 is 616991751.

157199616 is a `hidden beast` number, since 15 + 7 + 19 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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, 8273655 + ... + 8273673.

Almost surely, 2^157199616 is an apocalyptic number.

157199616 is a gapful number since it is divisible by the number (16) 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 157199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283470096).

157199616 is an abundant number, since it is smaller than the sum of its proper divisors (409740576).

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

157199616 is an frugal number, since it uses more digits than its factorization.

157199616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 157199616 is about 12537.9271013992. The cubic root of 157199616 is about 539.6976084749.

The spelling of 157199616 in words is "one hundred fifty-seven million, one hundred ninety-nine thousand, six hundred sixteen".