125953380 has 240 divisors, whose sum is σ = 468357120. Its totient is φ = 27724032.

The previous prime is 125953379. The next prime is 125953417. The reversal of 125953380 is 83359521.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328669 + ... + 329051.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 2^125953380 is an apocalyptic number.

125953380 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 125953380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234178560).

125953380 is an abundant number, since it is smaller than the sum of its proper divisors (342403740).

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

125953380 is a wasteful number, since it uses less digits than its factorization.

125953380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 125953380 is about 11222.8953483493. The cubic root of 125953380 is about 501.2679551946.

The spelling of 125953380 in words is "one hundred twenty-five million, nine hundred fifty-three thousand, three hundred eighty".