125434580742900 has 2592 divisors, whose sum is σ = 515793662092800. Its totient is φ = 26130681907200.

The previous prime is 125434580742871. The next prime is 125434580742907. The reversal of 125434580742900 is 9247085434521.

It is a happy number.

125434580742900 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 34 + 580 + 7 + 4 + 29 + 0 + 0 = 666.

It is a super-2 number, since 2×125434580742900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125434580742907) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 50639716462 + ... + 50639718938.

It is an arithmetic number, because the mean of its divisors is an integer number (198994468400).

Almost surely, 2^{125434580742900} is an apocalyptic number.

125434580742900 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 125434580742900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257896831046400).

125434580742900 is an abundant number, since it is smaller than the sum of its proper divisors (390359081349900).

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

125434580742900 is a wasteful number, since it uses less digits than its factorization.

125434580742900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 125434580742900 in words is "one hundred twenty-five trillion, four hundred thirty-four billion, five hundred eighty million, seven hundred forty-two thousand, nine hundred".