132860732135040 has 1536 divisors, whose sum is σ = 578790471168000. Its totient is φ = 27905246724096.

The previous prime is 132860732135023. The next prime is 132860732135041. The reversal of 132860732135040 is 40531237068231.

132860732135040 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 60 + 73 + 2 + 13 + 504 + 0 = 666.

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 (132860732135041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5727484722 + ... + 5727507918.

It is an arithmetic number, because the mean of its divisors is an integer number (376816713000).

Almost surely, 2^{132860732135040} is an apocalyptic number.

132860732135040 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 132860732135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289395235584000).

132860732135040 is an abundant number, since it is smaller than the sum of its proper divisors (445929739032960).

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

132860732135040 is a wasteful number, since it uses less digits than its factorization.

132860732135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23479 (or 23450 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 132860732135040 in words is "one hundred thirty-two trillion, eight hundred sixty billion, seven hundred thirty-two million, one hundred thirty-five thousand, forty".