133686398664 has 384 divisors, whose sum is σ = 462309120000. Its totient is φ = 33944666112.

The previous prime is 133686398647. The next prime is 133686398683. The reversal of 133686398664 is 466893686331.

It is a happy number.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 85312809 + ... + 85314375.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930000).

Almost surely, 2^133686398664 is an apocalyptic number.

133686398664 is a gapful number since it is divisible by the number (14) 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 133686398664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560000).

133686398664 is an abundant number, since it is smaller than the sum of its proper divisors (328622721336).

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

133686398664 is a wasteful number, since it uses less digits than its factorization.

133686398664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2070 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 133686398664 in words is "one hundred thirty-three billion, six hundred eighty-six million, three hundred ninety-eight thousand, six hundred sixty-four".