133612347960 has 2560 divisors, whose sum is σ = 653358182400. Its totient is φ = 23648993280.

The previous prime is 133612347949. The next prime is 133612348013. The reversal of 133612347960 is 69743216331.

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 639 ways as a sum of consecutive naturals, for example, 2190366330 + ... + 2190366390.

It is an arithmetic number, because the mean of its divisors is an integer number (255218040).

Almost surely, 2^133612347960 is an apocalyptic number.

133612347960 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 133612347960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326679091200).

133612347960 is an abundant number, since it is smaller than the sum of its proper divisors (519745834440).

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

133612347960 is a wasteful number, since it uses less digits than its factorization.

133612347960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 133612347960 in words is "one hundred thirty-three billion, six hundred twelve million, three hundred forty-seven thousand, nine hundred sixty".