125334972 has 96 divisors (see below), whose sum is σ = 373721600. Its totient is φ = 35582976.

The previous prime is 125334971. The next prime is 125334973. The reversal of 125334972 is 279433521.

125334972 is a `hidden beast` number, since 12 + 533 + 49 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (125334971) and next prime (125334973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125334971) 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 31 ways as a sum of consecutive naturals, for example, 145479 + ... + 146337.

Almost surely, 2^125334972 is an apocalyptic number.

125334972 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 125334972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186860800).

125334972 is an abundant number, since it is smaller than the sum of its proper divisors (248386628).

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

125334972 is a wasteful number, since it uses less digits than its factorization.

125334972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 125334972 is about 11195.3102681435. The cubic root of 125334972 is about 500.4462309707.

The spelling of 125334972 in words is "one hundred twenty-five million, three hundred thirty-four thousand, nine hundred seventy-two".