133116446340 has 72 divisors (see below), whose sum is σ = 421342504128. Its totient is φ = 33954338880.

The previous prime is 133116446321. The next prime is 133116446369. The reversal of 133116446340 is 43644611331.

133116446340 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 644 + 6 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133116446295 and 133116446304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16072726 + ... + 16081005.

It is an arithmetic number, because the mean of its divisors is an integer number (5851979224).

Almost surely, 2^133116446340 is an apocalyptic number.

133116446340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133116446340 is an abundant number, since it is smaller than the sum of its proper divisors (288226057788).

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

133116446340 is a wasteful number, since it uses less digits than its factorization.

133116446340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32153769 (or 32153764 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 133116446340 in words is "one hundred thirty-three billion, one hundred sixteen million, four hundred forty-six thousand, three hundred forty".