157743936 has 336 divisors, whose sum is σ = 569854080. Its totient is φ = 43110144.

The previous prime is 157743893. The next prime is 157743973. The reversal of 157743936 is 639347751.

157743936 is a `hidden beast` number, since 1 + 577 + 43 + 9 + 36 = 666.

157743936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (476280) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 157743891 and 157743900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6858421 + ... + 6858443.

Almost surely, 2^157743936 is an apocalyptic number.

157743936 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 157743936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284927040).

157743936 is an abundant number, since it is smaller than the sum of its proper divisors (412110144).

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

157743936 is an frugal number, since it uses more digits than its factorization.

157743936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 35 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 157743936 is about 12559.6152807321. The cubic root of 157743936 is about 540.3198105574.

The spelling of 157743936 in words is "one hundred fifty-seven million, seven hundred forty-three thousand, nine hundred thirty-six".