752149125 has 256 divisors, whose sum is σ = 1789132800. Its totient is φ = 303264000.

The previous prime is 752149109. The next prime is 752149147. The reversal of 752149125 is 521941257.

752149125 is a `hidden beast` number, since 7 + 521 + 4 + 9 + 125 = 666.

It is not a de Polignac number, because 752149125 - 2⁴ = 752149109 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 752149125 = 285³ + 900³ = 565³ + 830³.

It is a self number, because there is not a number n which added to its sum of digits gives 752149125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9520836 + ... + 9520914.

It is an arithmetic number, because the mean of its divisors is an integer number (6988800).

Almost surely, 2^752149125 is an apocalyptic number.

752149125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

752149125 is an abundant number, since it is smaller than the sum of its proper divisors (1036983675).

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

752149125 is a wasteful number, since it uses less digits than its factorization.

752149125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 752149125 is about 27425.3372814265. The cubic root of 752149125 is about 909.4272953240.

The spelling of 752149125 in words is "seven hundred fifty-two million, one hundred forty-nine thousand, one hundred twenty-five".