133777400960 has 768 divisors, whose sum is σ = 424970841600. Its totient is φ = 39883898880.

The previous prime is 133777400891. The next prime is 133777400963. The reversal of 133777400960 is 69004777331.

It is a super-2 number, since 2×133777400960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (133777400963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476076020 + ... + 476076300.

It is an arithmetic number, because the mean of its divisors is an integer number (553347450).

Almost surely, 2^133777400960 is an apocalyptic number.

133777400960 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 133777400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212485420800).

133777400960 is an abundant number, since it is smaller than the sum of its proper divisors (291193440640).

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

133777400960 is a wasteful number, since it uses less digits than its factorization.

133777400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 47.

The spelling of 133777400960 in words is "one hundred thirty-three billion, seven hundred seventy-seven million, four hundred thousand, nine hundred sixty".