125344354422240 has 192 divisors, whose sum is σ = 448039395256320. Its totient is φ = 32713987484160.

The previous prime is 125344354422101. The next prime is 125344354422289. The reversal of 125344354422240 is 42224453443521.

125344354422240 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 43 + 544 + 2 + 22 + 40 = 666.

125344354422240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×125344354422240³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308466076 + ... + 308872155.

It is an arithmetic number, because the mean of its divisors is an integer number (2333538516960).

Almost surely, 2^{125344354422240} is an apocalyptic number.

125344354422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125344354422240 is an abundant number, since it is smaller than the sum of its proper divisors (322695040834080).

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

125344354422240 is a wasteful number, since it uses less digits than its factorization.

125344354422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617338302 (or 617338288 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 125344354422240 in words is "one hundred twenty-five trillion, three hundred forty-four billion, three hundred fifty-four million, four hundred twenty-two thousand, two hundred forty".