126157356 has 72 divisors (see below), whose sum is σ = 351471120. Its totient is φ = 37908864.

The previous prime is 126157319. The next prime is 126157379. The reversal of 126157356 is 653751621.

126157356 is a `hidden beast` number, since 1 + 2 + 615 + 7 + 35 + 6 = 666.

It is a super-3 number, since 3×126157356³ (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126157356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16990 + ... + 23258.

Almost surely, 2^126157356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126157356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175735560).

126157356 is an abundant number, since it is smaller than the sum of its proper divisors (225313764).

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

126157356 is a wasteful number, since it uses less digits than its factorization.

126157356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6330 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 126157356 is about 11231.9791666473. The cubic root of 126157356 is about 501.5384031105.

The spelling of 126157356 in words is "one hundred twenty-six million, one hundred fifty-seven thousand, three hundred fifty-six".