133610472000 has 1120 divisors, whose sum is σ = 521948883456. Its totient is φ = 33702912000.

The previous prime is 133610471999. The next prime is 133610472019. The reversal of 133610472000 is 274016331.

133610472000 is a `hidden beast` number, since 1 + 3 + 3 + 610 + 47 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1248695947 + ... + 1248696053.

Almost surely, 2^133610472000 is an apocalyptic number.

133610472000 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 133610472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260974441728).

133610472000 is an abundant number, since it is smaller than the sum of its proper divisors (388338411456).

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

133610472000 is a wasteful number, since it uses less digits than its factorization.

133610472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 133610472000 its reverse (274016331), we get a palindrome (133884488331).

The spelling of 133610472000 in words is "one hundred thirty-three billion, six hundred ten million, four hundred seventy-two thousand".