126074256 has 180 divisors, whose sum is σ = 417379536. Its totient is φ = 32672640.

The previous prime is 126074243. The next prime is 126074317. The reversal of 126074256 is 652470621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284371 + ... + 284813.

Almost surely, 2^126074256 is an apocalyptic number.

126074256 is a gapful number since it is divisible by the number (16) 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 126074256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208689768).

126074256 is an abundant number, since it is smaller than the sum of its proper divisors (291305280).

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

126074256 is a wasteful number, since it uses less digits than its factorization.

126074256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 126074256 is about 11228.2792982718. The cubic root of 126074256 is about 501.4282576090.

The spelling of 126074256 in words is "one hundred twenty-six million, seventy-four thousand, two hundred fifty-six".