125993760 has 96 divisors (see below), whose sum is σ = 402579072. Its totient is φ = 33116160.

The previous prime is 125993759. The next prime is 125993761. The reversal of 125993760 is 67399521.

It is an interprime number because it is at equal distance from previous prime (125993759) and next prime (125993761).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125993761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32232 + ... + 35928.

It is an arithmetic number, because the mean of its divisors is an integer number (4193532).

Almost surely, 2^125993760 is an apocalyptic number.

125993760 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 125993760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201289536).

125993760 is an abundant number, since it is smaller than the sum of its proper divisors (276585312).

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

125993760 is a wasteful number, since it uses less digits than its factorization.

125993760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 125993760 is about 11224.6942051888. The cubic root of 125993760 is about 501.3215174394.

The spelling of 125993760 in words is "one hundred twenty-five million, nine hundred ninety-three thousand, seven hundred sixty".