157380304 has 80 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 72576000.

The previous prime is 157380259. The next prime is 157380313. The reversal of 157380304 is 403083751.

157380304 is digitally balanced in base 3, 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 (31).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1443802 + ... + 1443910.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^157380304 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 157380304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

157380304 is an abundant number, since it is smaller than the sum of its proper divisors (172598576).

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

157380304 is a wasteful number, since it uses less digits than its factorization.

157380304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 157380304 is about 12545.1306888370. The cubic root of 157380304 is about 539.9043086040.

The spelling of 157380304 in words is "one hundred fifty-seven million, three hundred eighty thousand, three hundred four".