157783136 has 72 divisors (see below), whose sum is σ = 369212256. Its totient is φ = 66151680.

The previous prime is 157783121. The next prime is 157783139. The reversal of 157783136 is 631387751.

It is a junction number, because it is equal to n+sod(n) for n = 157783093 and 157783102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157783139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72626 + ... + 74766.

It is an arithmetic number, because the mean of its divisors is an integer number (5127948).

Almost surely, 2^157783136 is an apocalyptic number.

157783136 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 157783136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184606128).

157783136 is an abundant number, since it is smaller than the sum of its proper divisors (211429120).

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

157783136 is a wasteful number, since it uses less digits than its factorization.

157783136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2197 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 157783136 is about 12561.1757411478. The cubic root of 157783136 is about 540.3645640630.

The spelling of 157783136 in words is "one hundred fifty-seven million, seven hundred eighty-three thousand, one hundred thirty-six".