133731302400 has 1056 divisors, whose sum is σ = 548268480000. Its totient is φ = 31744327680.

The previous prime is 133731302399. The next prime is 133731302407. The reversal of 133731302400 is 4203137331.

It is a super-2 number, since 2×133731302400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133731302407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223257301 + ... + 223257899.

Almost surely, 2^133731302400 is an apocalyptic number.

133731302400 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 133731302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274134240000).

133731302400 is an abundant number, since it is smaller than the sum of its proper divisors (414537177600).

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

133731302400 is a wasteful number, since it uses less digits than its factorization.

133731302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 133731302400 its reverse (4203137331), we get a palindrome (137934439731).

The spelling of 133731302400 in words is "one hundred thirty-three billion, seven hundred thirty-one million, three hundred two thousand, four hundred".