132706506240 has 1920 divisors, whose sum is σ = 627525550080. Its totient is φ = 25082265600.

The previous prime is 132706506239. The next prime is 132706506263. The reversal of 132706506240 is 42605607231.

132706506240 is a `hidden beast` number, since 1 + 3 + 27 + 0 + 6 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×132706506240² (a number of 23 digits) contains 22 as substring.

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 = 132706506195 and 132706506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1044933057 + ... + 1044933183.

It is an arithmetic number, because the mean of its divisors is an integer number (326836224).

Almost surely, 2^132706506240 is an apocalyptic number.

132706506240 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 132706506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313762775040).

132706506240 is an abundant number, since it is smaller than the sum of its proper divisors (494819043840).

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

132706506240 is a wasteful number, since it uses less digits than its factorization.

132706506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 132706506240 in words is "one hundred thirty-two billion, seven hundred six million, five hundred six thousand, two hundred forty".