132015051102240 has 384 divisors, whose sum is σ = 467670599424000. Its totient is φ = 34777815579648.

The previous prime is 132015051102227. The next prime is 132015051102269. The reversal of 132015051102240 is 42201150510231.

It is a happy number.

132015051102240 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 505 + 110 + 2 + 2 + 40 = 666.

132015051102240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165546391 + ... + 166341929.

It is an arithmetic number, because the mean of its divisors is an integer number (1217892186000).

Almost surely, 2^{132015051102240} is an apocalyptic number.

132015051102240 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 132015051102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233835299712000).

132015051102240 is an abundant number, since it is smaller than the sum of its proper divisors (335655548321760).

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

132015051102240 is a wasteful number, since it uses less digits than its factorization.

132015051102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796029 (or 796015 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 132015051102240 in words is "one hundred thirty-two trillion, fifteen billion, fifty-one million, one hundred two thousand, two hundred forty".