125340174720 has 384 divisors, whose sum is σ = 437583500640. Its totient is φ = 33058455552.

The previous prime is 125340174703. The next prime is 125340174727. The reversal of 125340174720 is 27471043521.

125340174720 is a `hidden beast` number, since 125 + 340 + 174 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (125340174727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336032454 + ... + 336032826.

Almost surely, 2^125340174720 is an apocalyptic number.

125340174720 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 125340174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218791750320).

125340174720 is an abundant number, since it is smaller than the sum of its proper divisors (312243325920).

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

125340174720 is a wasteful number, since it uses less digits than its factorization.

125340174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 125340174720 in words is "one hundred twenty-five billion, three hundred forty million, one hundred seventy-four thousand, seven hundred twenty".