125153920440 has 384 divisors, whose sum is σ = 446186257920. Its totient is φ = 30287462400.

The previous prime is 125153920429. The next prime is 125153920477. The reversal of 125153920440 is 44029351521.

125153920440 is a `hidden beast` number, since 12 + 51 + 539 + 20 + 4 + 40 = 666.

It is a Cunningham number, because it is equal to 353771²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125153920395 and 125153920404.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 60140200 + ... + 60142280.

It is an arithmetic number, because the mean of its divisors is an integer number (1161943380).

Almost surely, 2^125153920440 is an apocalyptic number.

125153920440 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 125153920440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223093128960).

125153920440 is an abundant number, since it is smaller than the sum of its proper divisors (321032337480).

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

125153920440 is a wasteful number, since it uses less digits than its factorization.

125153920440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 125153920440 in words is "one hundred twenty-five billion, one hundred fifty-three million, nine hundred twenty thousand, four hundred forty".