133861908960 has 480 divisors, whose sum is σ = 514068774912. Its totient is φ = 32606945280.

The previous prime is 133861908941. The next prime is 133861908967. The reversal of 133861908960 is 69809168331.

133861908960 is a `hidden beast` number, since 13 + 3 + 8 + 619 + 0 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 133861908897 and 133861908906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133861908967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16338465 + ... + 16346655.

Almost surely, 2^133861908960 is an apocalyptic number.

133861908960 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 133861908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257034387456).

133861908960 is an abundant number, since it is smaller than the sum of its proper divisors (380206865952).

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

133861908960 is a wasteful number, since it uses less digits than its factorization.

133861908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 133861908960 in words is "one hundred thirty-three billion, eight hundred sixty-one million, nine hundred eight thousand, nine hundred sixty".