133056207900 has 864 divisors, whose sum is σ = 553049602560. Its totient is φ = 26659584000.

The previous prime is 133056207839. The next prime is 133056207953. The reversal of 133056207900 is 9702650331.

133056207900 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 562 + 0 + 7 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174843520 + ... + 174844280.

Almost surely, 2^133056207900 is an apocalyptic number.

133056207900 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 133056207900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276524801280).

133056207900 is an abundant number, since it is smaller than the sum of its proper divisors (419993394660).

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

133056207900 is a wasteful number, since it uses less digits than its factorization.

133056207900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

It can be divided in two parts, 133056 and 207900, that multiplied together give a square (27662342400 = 166320²).

The spelling of 133056207900 in words is "one hundred thirty-three billion, fifty-six million, two hundred seven thousand, nine hundred".