126514400 has 36 divisors (see below), whose sum is σ = 308855232. Its totient is φ = 50605440.

The previous prime is 126514361. The next prime is 126514439. The reversal of 126514400 is 4415621.

It is an interprime number because it is at equal distance from previous prime (126514361) and next prime (126514439).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78272 + ... + 79871.

It is an arithmetic number, because the mean of its divisors is an integer number (8579312).

Almost surely, 2^126514400 is an apocalyptic number.

126514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126514400 is an abundant number, since it is smaller than the sum of its proper divisors (182340832).

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

126514400 is a wasteful number, since it uses less digits than its factorization.

126514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158163 (or 158150 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 126514400 is about 11247.8620190683. The cubic root of 126514400 is about 502.0111001075.

The spelling of 126514400 in words is "one hundred twenty-six million, five hundred fourteen thousand, four hundred".