125901984 has 96 divisors (see below), whose sum is σ = 360702720. Its totient is φ = 38218752.

The previous prime is 125901967. The next prime is 125901989. The reversal of 125901984 is 489109521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (125901989) 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, 97954 + ... + 99230.

It is an arithmetic number, because the mean of its divisors is an integer number (3757320).

Almost surely, 2^125901984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180351360).

125901984 is an abundant number, since it is smaller than the sum of its proper divisors (234800736).

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

125901984 is a wasteful number, since it uses less digits than its factorization.

125901984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 125901984 is about 11220.6053312644. The cubic root of 125901984 is about 501.1997641626.

The spelling of 125901984 in words is "one hundred twenty-five million, nine hundred one thousand, nine hundred eighty-four".