125401824 has 96 divisors (see below), whose sum is σ = 385056000. Its totient is φ = 39595392.

The previous prime is 125401817. The next prime is 125401831. The reversal of 125401824 is 428104521.

It is an interprime number because it is at equal distance from previous prime (125401817) and next prime (125401831).

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

It is a super-3 number, since 3×125401824³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12597 + ... + 20235.

It is an arithmetic number, because the mean of its divisors is an integer number (4011000).

Almost surely, 2^125401824 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 125401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192528000).

125401824 is an abundant number, since it is smaller than the sum of its proper divisors (259654176).

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

125401824 is a wasteful number, since it uses less digits than its factorization.

125401824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 125401824 is about 11198.2955845968. The cubic root of 125401824 is about 500.5351922674.

The spelling of 125401824 in words is "one hundred twenty-five million, four hundred one thousand, eight hundred twenty-four".