157738320 has 160 divisors (see below), whose sum is σ = 549369600. Its totient is φ = 41596416.

The previous prime is 157738313. The next prime is 157738351. The reversal of 157738320 is 23837751.

157738320 is a `hidden beast` number, since 1 + 577 + 3 + 83 + 2 + 0 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222126 + ... + 222834.

It is an arithmetic number, because the mean of its divisors is an integer number (3433560).

Almost surely, 2^157738320 is an apocalyptic number.

157738320 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 157738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274684800).

157738320 is an abundant number, since it is smaller than the sum of its proper divisors (391631280).

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

157738320 is a wasteful number, since it uses less digits than its factorization.

157738320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 157738320 is about 12559.3917050150. The cubic root of 157738320 is about 540.3133983256.

The spelling of 157738320 in words is "one hundred fifty-seven million, seven hundred thirty-eight thousand, three hundred twenty".