125454798432 has 240 divisors, whose sum is σ = 393859065600. Its totient is φ = 39058225920.

The previous prime is 125454798431. The next prime is 125454798433. The reversal of 125454798432 is 234897454521.

It is a happy number.

125454798432 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 547 + 98 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125454798431) and next prime (125454798433).

It is a super-2 number, since 2×125454798432² (a number of 23 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 (125454798431) 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 39 ways as a sum of consecutive naturals, for example, 3478669 + ... + 3514547.

It is an arithmetic number, because the mean of its divisors is an integer number (1641079440).

Almost surely, 2^125454798432 is an apocalyptic number.

125454798432 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 125454798432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196929532800).

125454798432 is an abundant number, since it is smaller than the sum of its proper divisors (268404267168).

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

125454798432 is a wasteful number, since it uses less digits than its factorization.

125454798432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35991 (or 35974 counting only the distinct ones).

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

The spelling of 125454798432 in words is "one hundred twenty-five billion, four hundred fifty-four million, seven hundred ninety-eight thousand, four hundred thirty-two".