125762220 has 144 divisors (see below), whose sum is σ = 400851360. Its totient is φ = 33094656.

The previous prime is 125762191. The next prime is 125762237. The reversal of 125762220 is 22267521.

125762220 is a `hidden beast` number, since 12 + 5 + 7 + 622 + 20 = 666.

It is a super-2 number, since 2×125762220² = 31632271958656800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549066 + ... + 549294.

It is an arithmetic number, because the mean of its divisors is an integer number (2783690).

Almost surely, 2^125762220 is an apocalyptic number.

125762220 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 125762220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200425680).

125762220 is an abundant number, since it is smaller than the sum of its proper divisors (275089140).

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

125762220 is a wasteful number, since it uses less digits than its factorization.

125762220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125762220 is about 11214.3755956362. The cubic root of 125762220 is about 501.0142345986.

The spelling of 125762220 in words is "one hundred twenty-five million, seven hundred sixty-two thousand, two hundred twenty".