157101984 has 192 divisors, whose sum is σ = 502951680. Its totient is φ = 47416320.

The previous prime is 157101953. The next prime is 157101991. The reversal of 157101984 is 489101751.

157101984 is a `hidden beast` number, since 1 + 571 + 0 + 1 + 9 + 84 = 666.

157101984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797374 + ... + 797570.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^157101984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

157101984 is an abundant number, since it is smaller than the sum of its proper divisors (345849696).

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

157101984 is a wasteful number, since it uses less digits than its factorization.

157101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 157101984 is about 12534.0330301144. The cubic root of 157101984 is about 539.5858552988.

The spelling of 157101984 in words is "one hundred fifty-seven million, one hundred one thousand, nine hundred eighty-four".