133890649200 has 720 divisors, whose sum is σ = 598013724672. Its totient is φ = 26922240000.

The previous prime is 133890649181. The next prime is 133890649219. The reversal of 133890649200 is 2946098331.

It is a happy number.

133890649200 is a `hidden beast` number, since 1 + 3 + 389 + 0 + 64 + 9 + 200 = 666.

133890649200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133890649181) and next prime (133890649219).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8585410 + ... + 8600990.

Almost surely, 2^133890649200 is an apocalyptic number.

133890649200 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 133890649200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299006862336).

133890649200 is an abundant number, since it is smaller than the sum of its proper divisors (464123075472).

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

133890649200 is a wasteful number, since it uses less digits than its factorization.

133890649200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15654 (or 15640 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 133890649200 in words is "one hundred thirty-three billion, eight hundred ninety million, six hundred forty-nine thousand, two hundred".