125435682372 has 288 divisors, whose sum is σ = 396835875072. Its totient is φ = 30007296000.

The previous prime is 125435682343. The next prime is 125435682373. The reversal of 125435682372 is 273286534521.

It is a super-2 number, since 2×125435682372² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125435682373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84695872 + ... + 84697352.

It is an arithmetic number, because the mean of its divisors is an integer number (1377902344).

Almost surely, 2^125435682372 is an apocalyptic number.

125435682372 is a gapful number since it is divisible by the number (12) 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 125435682372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198417937536).

125435682372 is an abundant number, since it is smaller than the sum of its proper divisors (271400192700).

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

125435682372 is a wasteful number, since it uses less digits than its factorization.

125435682372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 125435682372 in words is "one hundred twenty-five billion, four hundred thirty-five million, six hundred eighty-two thousand, three hundred seventy-two".