126945360 has 80 divisors (see below), whose sum is σ = 437263680. Its totient is φ = 33851520.

The previous prime is 126945359. The next prime is 126945361. The reversal of 126945360 is 63549621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126945359) and next prime (126945361).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×126945360² = 32230248851059200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126945361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27226 + ... + 31545.

It is an arithmetic number, because the mean of its divisors is an integer number (5465796).

Almost surely, 2^126945360 is an apocalyptic number.

126945360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126945360 is an abundant number, since it is smaller than the sum of its proper divisors (310318320).

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

126945360 is a wasteful number, since it uses less digits than its factorization.

126945360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58793 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 126945360 is about 11267.0031507939. The cubic root of 126945360 is about 502.5804727436.

The spelling of 126945360 in words is "one hundred twenty-six million, nine hundred forty-five thousand, three hundred sixty".