125213088 has 192 divisors, whose sum is σ = 441649152. Its totient is φ = 29998080.

The previous prime is 125213087. The next prime is 125213113. The reversal of 125213088 is 880312521.

It is not an unprimeable number, because it can be changed into a prime (125213087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95445 + ... + 96747.

It is an arithmetic number, because the mean of its divisors is an integer number (2300256).

Almost surely, 2^125213088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125213088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220824576).

125213088 is an abundant number, since it is smaller than the sum of its proper divisors (316436064).

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

125213088 is a wasteful number, since it uses less digits than its factorization.

125213088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 125213088 is about 11189.8654147403. The cubic root of 125213088 is about 500.2839560407.

The spelling of 125213088 in words is "one hundred twenty-five million, two hundred thirteen thousand, eighty-eight".