125547577344 has 480 divisors, whose sum is σ = 435116682000. Its totient is φ = 35672555520.

The previous prime is 125547577339. The next prime is 125547577357. The reversal of 125547577344 is 443775745521.

125547577344 is a `hidden beast` number, since 1 + 2 + 5 + 547 + 57 + 7 + 3 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693632934 + ... + 693633114.

Almost surely, 2^125547577344 is an apocalyptic number.

125547577344 is a gapful number since it is divisible by the number (14) 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 125547577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217558341000).

125547577344 is an abundant number, since it is smaller than the sum of its proper divisors (309569104656).

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

125547577344 is an frugal number, since it uses more digits than its factorization.

125547577344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its digits is 16464000, while the sum is 54.

The spelling of 125547577344 in words is "one hundred twenty-five billion, five hundred forty-seven million, five hundred seventy-seven thousand, three hundred forty-four".