125921988 has 36 divisors (see below), whose sum is σ = 326070108. Its totient is φ = 40949760.

The previous prime is 125921963. The next prime is 125921993. The reversal of 125921988 is 889129521.

It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 52099524 = 8592^2 + 7218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×125921988³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41181 + ... + 44132.

It is an arithmetic number, because the mean of its divisors is an integer number (9057503).

Almost surely, 2^125921988 is an apocalyptic number.

125921988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125921988 is an abundant number, since it is smaller than the sum of its proper divisors (200148120).

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

125921988 is a wasteful number, since it uses less digits than its factorization.

125921988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85364 (or 85359 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 125921988 is about 11221.4966916183. The cubic root of 125921988 is about 501.2263072157.

The spelling of 125921988 in words is "one hundred twenty-five million, nine hundred twenty-one thousand, nine hundred eighty-eight".