126251040 has 48 divisors (see below), whose sum is σ = 397692288. Its totient is φ = 33666816.

The previous prime is 126251023. The next prime is 126251057. The reversal of 126251040 is 40152621.

It is an interprime number because it is at equal distance from previous prime (126251023) and next prime (126251057).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 126250998 and 126251016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131032 + ... + 131991.

It is an arithmetic number, because the mean of its divisors is an integer number (8285256).

Almost surely, 2^126251040 is an apocalyptic number.

126251040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126251040 is an abundant number, since it is smaller than the sum of its proper divisors (271441248).

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

126251040 is a wasteful number, since it uses less digits than its factorization.

126251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263041 (or 263033 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 126251040 is about 11236.1488064194. The cubic root of 126251040 is about 501.6625192658.

The spelling of 126251040 in words is "one hundred twenty-six million, two hundred fifty-one thousand, forty".