125783952 has 240 divisors, whose sum is σ = 421794432. Its totient is φ = 31518720.

The previous prime is 125783951. The next prime is 125783953. The reversal of 125783952 is 259387521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125783951) and next prime (125783953).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125783951) 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 47 ways as a sum of consecutive naturals, for example, 2062002 + ... + 2062062.

Almost surely, 2^125783952 is an apocalyptic number.

125783952 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 125783952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210897216).

125783952 is an abundant number, since it is smaller than the sum of its proper divisors (296010480).

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

125783952 is a wasteful number, since it uses less digits than its factorization.

125783952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 125783952 is about 11215.3444886905. The cubic root of 125783952 is about 501.0430917393.

The spelling of 125783952 in words is "one hundred twenty-five million, seven hundred eighty-three thousand, nine hundred fifty-two".