157266252 has 192 divisors, whose sum is σ = 508032000. Its totient is φ = 41333760.

The previous prime is 157266251. The next prime is 157266253. The reversal of 157266252 is 252662751.

157266252 is a `hidden beast` number, since 1 + 5 + 7 + 26 + 625 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (157266251) and next prime (157266253).

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 (157266251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262249 + ... + 262847.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^157266252 is an apocalyptic number.

157266252 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 157266252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

157266252 is an abundant number, since it is smaller than the sum of its proper divisors (350765748).

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

157266252 is a wasteful number, since it uses less digits than its factorization.

157266252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 157266252 is about 12540.5841969184. The cubic root of 157266252 is about 539.7738559247.

The spelling of 157266252 in words is "one hundred fifty-seven million, two hundred sixty-six thousand, two hundred fifty-two".