125347824 has 200 divisors, whose sum is σ = 425993568. Its totient is φ = 34836480.

The previous prime is 125347819. The next prime is 125347877. The reversal of 125347824 is 428743521.

It is a happy number.

It is a super-4 number, since 4×125347824⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371784 + ... + 372120.

Almost surely, 2^125347824 is an apocalyptic number.

125347824 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 125347824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212996784).

125347824 is an abundant number, since it is smaller than the sum of its proper divisors (300645744).

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

125347824 is a wasteful number, since it uses less digits than its factorization.

125347824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 125347824 is about 11195.8842437746. The cubic root of 125347824 is about 500.4633358405.

The spelling of 125347824 in words is "one hundred twenty-five million, three hundred forty-seven thousand, eight hundred twenty-four".