133024742400 has 528 divisors, whose sum is σ = 488836176768. Its totient is φ = 31629312000.

The previous prime is 133024742381. The next prime is 133024742437. The reversal of 133024742400 is 4247420331.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44772915 + ... + 44775885.

Almost surely, 2^133024742400 is an apocalyptic number.

133024742400 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 133024742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244418088384).

133024742400 is an abundant number, since it is smaller than the sum of its proper divisors (355811434368).

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

133024742400 is a wasteful number, since it uses less digits than its factorization.

133024742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 133024742400 in words is "one hundred thirty-three billion, twenty-four million, seven hundred forty-two thousand, four hundred".