133281356040 has 320 divisors, whose sum is σ = 512416143360. Its totient is φ = 30437752320.

The previous prime is 133281356029. The next prime is 133281356101. The reversal of 133281356040 is 40653182331.

133281356040 is a `hidden beast` number, since 1 + 3 + 32 + 8 + 13 + 5 + 604 + 0 = 666.

It is a super-3 number, since 3×133281356040³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 133281355986 and 133281356004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39302745 + ... + 39306135.

It is an arithmetic number, because the mean of its divisors is an integer number (1601300448).

Almost surely, 2^133281356040 is an apocalyptic number.

133281356040 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 133281356040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256208071680).

133281356040 is an abundant number, since it is smaller than the sum of its proper divisors (379134787320).

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

133281356040 is a wasteful number, since it uses less digits than its factorization.

133281356040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 133281356040 in words is "one hundred thirty-three billion, two hundred eighty-one million, three hundred fifty-six thousand, forty".