133260577920 has 768 divisors, whose sum is σ = 498715176960. Its totient is φ = 33965568000.

The previous prime is 133260577871. The next prime is 133260577939. The reversal of 133260577920 is 29775062331.

133260577920 is a `hidden beast` number, since 1 + 3 + 32 + 605 + 7 + 7 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×133260577920³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 631566615 + ... + 631566825.

It is an arithmetic number, because the mean of its divisors is an integer number (649368720).

Almost surely, 2^133260577920 is an apocalyptic number.

133260577920 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 133260577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249357588480).

133260577920 is an abundant number, since it is smaller than the sum of its proper divisors (365454599040).

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

133260577920 is a wasteful number, since it uses less digits than its factorization.

133260577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 133260577920 in words is "one hundred thirty-three billion, two hundred sixty million, five hundred seventy-seven thousand, nine hundred twenty".