133525864400 has 180 divisors, whose sum is σ = 330332698500. Its totient is φ = 51867033600.

The previous prime is 133525864399. The next prime is 133525864403. The reversal of 133525864400 is 4468525331.

It can be written as a sum of positive squares in 18 ways, for example, as 133485006736 + 40857664 = 365356^2 + 6392^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133525864403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234667316 + ... + 234667884.

Almost surely, 2^133525864400 is an apocalyptic number.

133525864400 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 133525864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165166349250).

133525864400 is an abundant number, since it is smaller than the sum of its proper divisors (196806834100).

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

133525864400 is a wasteful number, since it uses less digits than its factorization.

133525864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 133525864400 in words is "one hundred thirty-three billion, five hundred twenty-five million, eight hundred sixty-four thousand, four hundred".