133125721344 has 1080 divisors, whose sum is σ = 517320685728. Its totient is φ = 33652039680.

The previous prime is 133125721331. The next prime is 133125721357. The reversal of 133125721344 is 443127521331.

133125721344 is a `hidden beast` number, since 1 + 3 + 31 + 2 + 572 + 13 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (133125721331) and next prime (133125721357).

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 = 133125721299 and 133125721308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 480598134 + ... + 480598410.

Almost surely, 2^133125721344 is an apocalyptic number.

133125721344 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 133125721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258660342864).

133125721344 is an abundant number, since it is smaller than the sum of its proper divisors (384194964384).

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

133125721344 is a wasteful number, since it uses less digits than its factorization.

133125721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 343 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 133125721344 in words is "one hundred thirty-three billion, one hundred twenty-five million, seven hundred twenty-one thousand, three hundred forty-four".