125785014432 has 384 divisors, whose sum is σ = 436887779328. Its totient is φ = 30678220800.

The previous prime is 125785014413. The next prime is 125785014451. The reversal of 125785014432 is 234410587521.

It is an interprime number because it is at equal distance from previous prime (125785014413) and next prime (125785014451).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71753268 + ... + 71755020.

It is an arithmetic number, because the mean of its divisors is an integer number (1137728592).

Almost surely, 2^125785014432 is an apocalyptic number.

125785014432 is a gapful number since it is divisible by the number (12) 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 125785014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218443889664).

125785014432 is an abundant number, since it is smaller than the sum of its proper divisors (311102764896).

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

125785014432 is a wasteful number, since it uses less digits than its factorization.

125785014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 125785014432 in words is "one hundred twenty-five billion, seven hundred eighty-five million, fourteen thousand, four hundred thirty-two".