133825522740 has 768 divisors, whose sum is σ = 492977995776. Its totient is φ = 26376192000.

The previous prime is 133825522729. The next prime is 133825522799. The reversal of 133825522740 is 47225528331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 133825522692 and 133825522701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 886261665 + ... + 886261815.

It is an arithmetic number, because the mean of its divisors is an integer number (641898432).

Almost surely, 2^133825522740 is an apocalyptic number.

133825522740 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 133825522740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246488997888).

133825522740 is an abundant number, since it is smaller than the sum of its proper divisors (359152473036).

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

133825522740 is a wasteful number, since it uses less digits than its factorization.

133825522740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 133825522740 in words is "one hundred thirty-three billion, eight hundred twenty-five million, five hundred twenty-two thousand, seven hundred forty".