157783392 has 288 divisors, whose sum is σ = 533306592. Its totient is φ = 43794432.

The previous prime is 157783349. The next prime is 157783399. The reversal of 157783392 is 293387751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157783399) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2354943 + ... + 2355009.

It is an arithmetic number, because the mean of its divisors is an integer number (1851759).

Almost surely, 2^157783392 is an apocalyptic number.

157783392 is a gapful number since it is divisible by the number (12) 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 157783392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266653296).

157783392 is an abundant number, since it is smaller than the sum of its proper divisors (375523200).

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

157783392 is a wasteful number, since it uses less digits than its factorization.

157783392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 157783392 is about 12561.1859312726. The cubic root of 157783392 is about 540.3648563064.

The spelling of 157783392 in words is "one hundred fifty-seven million, seven hundred eighty-three thousand, three hundred ninety-two".