133261262400 has 840 divisors, whose sum is σ = 527910251264. Its totient is φ = 29398118400.

The previous prime is 133261262389. The next prime is 133261262429. The reversal of 133261262400 is 4262162331.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 357268614 + ... + 357268986.

Almost surely, 2^133261262400 is an apocalyptic number.

133261262400 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 133261262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263955125632).

133261262400 is an abundant number, since it is smaller than the sum of its proper divisors (394648988864).

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

133261262400 is an equidigital number, since it uses as much as digits as its factorization.

133261262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 133261262400 in words is "one hundred thirty-three billion, two hundred sixty-one million, two hundred sixty-two thousand, four hundred".