157401792 has 168 divisors, whose sum is σ = 485394000. Its totient is φ = 50512896.

The previous prime is 157401791. The next prime is 157401847. The reversal of 157401792 is 297104751.

It is a happy number.

It is a super-2 number, since 2×157401792² = 49550648249622528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157401791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450834 + ... + 451182.

It is an arithmetic number, because the mean of its divisors is an integer number (2889250).

Almost surely, 2^157401792 is an apocalyptic number.

157401792 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 157401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242697000).

157401792 is an abundant number, since it is smaller than the sum of its proper divisors (327992208).

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

157401792 is an equidigital number, since it uses as much as digits as its factorization.

157401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157401792 is about 12545.9870875113. The cubic root of 157401792 is about 539.9288795224.

The spelling of 157401792 in words is "one hundred fifty-seven million, four hundred one thousand, seven hundred ninety-two".