157984128 has 128 divisors (see below), whose sum is σ = 493884000. Its totient is φ = 49545216.

The previous prime is 157984097. The next prime is 157984133. The reversal of 157984128 is 821489751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57408 + ... + 60096.

Almost surely, 2^157984128 is an apocalyptic number.

157984128 is a gapful number since it is divisible by the number (18) 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 157984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246942000).

157984128 is an abundant number, since it is smaller than the sum of its proper divisors (335899872).

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

157984128 is a wasteful number, since it uses less digits than its factorization.

157984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2711 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 157984128 is about 12569.1737198592. The cubic root of 157984128 is about 540.5939144500.

The spelling of 157984128 in words is "one hundred fifty-seven million, nine hundred eighty-four thousand, one hundred twenty-eight".