125349400 has 96 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 45200000.

The previous prime is 125349391. The next prime is 125349401. The reversal of 125349400 is 4943521.

It is a super-3 number, since 3×125349400³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125349401) 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, 499275 + ... + 499525.

It is an arithmetic number, because the mean of its divisors is an integer number (3339630).

Almost surely, 2^125349400 is an apocalyptic number.

125349400 is a gapful number since it is divisible by the number (10) 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 125349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

125349400 is an abundant number, since it is smaller than the sum of its proper divisors (195255080).

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

125349400 is a wasteful number, since it uses less digits than its factorization.

125349400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 125349400 is about 11195.9546265604. The cubic root of 125349400 is about 500.4654332760.

It can be divided in two parts, 1253 and 49400, that added together give a cube (50653 = 37³).

The spelling of 125349400 in words is "one hundred twenty-five million, three hundred forty-nine thousand, four hundred".