157792050 has 216 divisors, whose sum is σ = 486893316. Its totient is φ = 37791360.

The previous prime is 157792049. The next prime is 157792051. The reversal of 157792050 is 50297751.

It is an interprime number because it is at equal distance from previous prime (157792049) and next prime (157792051).

It can be written as a sum of positive squares in 6 ways, for example, as 61732449 + 96059601 = 7857^2 + 9801^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157791996 and 157792014.

It is not an unprimeable number, because it can be changed into a prime (157792051) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4264632 + ... + 4264668.

Almost surely, 2^157792050 is an apocalyptic number.

157792050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157792050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243446658).

157792050 is an abundant number, since it is smaller than the sum of its proper divisors (329101266).

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

157792050 is an equidigital number, since it uses as much as digits as its factorization.

157792050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 157792050 is about 12561.5305596094. The cubic root of 157792050 is about 540.3747398843.

The spelling of 157792050 in words is "one hundred fifty-seven million, seven hundred ninety-two thousand, fifty".