125633740960 has 192 divisors, whose sum is σ = 371498400000. Its totient is φ = 39086825472.

The previous prime is 125633740933. The next prime is 125633740987. The reversal of 125633740960 is 69047336521.

It is an interprime number because it is at equal distance from previous prime (125633740933) and next prime (125633740987).

It is a self number, because there is not a number n which added to its sum of digits gives 125633740960.

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 31 ways as a sum of consecutive naturals, for example, 785916 + ... + 932164.

It is an arithmetic number, because the mean of its divisors is an integer number (1934887500).

Almost surely, 2^125633740960 is an apocalyptic number.

125633740960 is a gapful number since it is divisible by the number (10) 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 125633740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200000).

125633740960 is an abundant number, since it is smaller than the sum of its proper divisors (245864659040).

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

125633740960 is a wasteful number, since it uses less digits than its factorization.

125633740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146343 (or 146335 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 125633740960 in words is "one hundred twenty-five billion, six hundred thirty-three million, seven hundred forty thousand, nine hundred sixty".