133952981040 has 320 divisors, whose sum is σ = 492281349120. Its totient is φ = 33361735680.

The previous prime is 133952981021. The next prime is 133952981047. The reversal of 133952981040 is 40189259331.

It is a happy number.

133952981040 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 529 + 81 + 0 + 40 = 666.

It is a super-2 number, since 2×133952981040² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133952981047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4796397 + ... + 4824243.

It is an arithmetic number, because the mean of its divisors is an integer number (1538379216).

Almost surely, 2^133952981040 is an apocalyptic number.

133952981040 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 133952981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246140674560).

133952981040 is an abundant number, since it is smaller than the sum of its proper divisors (358328368080).

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

133952981040 is a wasteful number, since it uses less digits than its factorization.

133952981040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28017 (or 28005 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 133952981040 in words is "one hundred thirty-three billion, nine hundred fifty-two million, nine hundred eighty-one thousand, forty".