133215477120 has 896 divisors, whose sum is σ = 528095803680. Its totient is φ = 31850496000.

The previous prime is 133215477107. The next prime is 133215477133. The reversal of 133215477120 is 21774512331.

133215477120 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 547 + 71 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (133215477107) and next prime (133215477133).

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 111 ways as a sum of consecutive naturals, for example, 518348032 + ... + 518348288.

Almost surely, 2^133215477120 is an apocalyptic number.

133215477120 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 133215477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264047901840).

133215477120 is an abundant number, since it is smaller than the sum of its proper divisors (394880326560).

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

133215477120 is a wasteful number, since it uses less digits than its factorization.

133215477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 133215477120 its reverse (21774512331), we get a palindrome (154989989451).

The spelling of 133215477120 in words is "one hundred thirty-three billion, two hundred fifteen million, four hundred seventy-seven thousand, one hundred twenty".