125901540 has 240 divisors, whose sum is σ = 429327360. Its totient is φ = 30792960.

The previous prime is 125901527. The next prime is 125901547. The reversal of 125901540 is 45109521.

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

It is not an unprimeable number, because it can be changed into a prime (125901547) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1155006 + ... + 1155114.

It is an arithmetic number, because the mean of its divisors is an integer number (1788864).

Almost surely, 2^125901540 is an apocalyptic number.

125901540 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 125901540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214663680).

125901540 is an abundant number, since it is smaller than the sum of its proper divisors (303425820).

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

125901540 is a wasteful number, since it uses less digits than its factorization.

125901540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 125901540 is about 11220.5855462182. The cubic root of 125901540 is about 501.1991749928.

The spelling of 125901540 in words is "one hundred twenty-five million, nine hundred one thousand, five hundred forty".