125577984 has 216 divisors, whose sum is σ = 402651648. Its totient is φ = 34621440.

The previous prime is 125577983. The next prime is 125578001. The reversal of 125577984 is 489775521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125577983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1768669 + ... + 1768739.

It is an arithmetic number, because the mean of its divisors is an integer number (1864128).

Almost surely, 2^125577984 is an apocalyptic number.

125577984 is a gapful number since it is divisible by the number (14) 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 125577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201325824).

125577984 is an abundant number, since it is smaller than the sum of its proper divisors (277073664).

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

125577984 is an equidigital number, since it uses as much as digits as its factorization.

125577984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The square root of 125577984 is about 11206.1583069311. The cubic root of 125577984 is about 500.7694605867.

The spelling of 125577984 in words is "one hundred twenty-five million, five hundred seventy-seven thousand, nine hundred eighty-four".