132750769430160 has 640 divisors, whose sum is σ = 548308026040320. Its totient is φ = 28863404697600.

The previous prime is 132750769430131. The next prime is 132750769430189. The reversal of 132750769430160 is 61034967057231.

132750769430160 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 507 + 6 + 94 + 30 + 16 + 0 = 666.

132750769430160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132750769430131) and next prime (132750769430189).

It is a super-2 number, since 2×132750769430160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132750769430097 and 132750769430106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61890055 + ... + 63999065.

It is an arithmetic number, because the mean of its divisors is an integer number (856731290688).

Almost surely, 2^{132750769430160} is an apocalyptic number.

132750769430160 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 132750769430160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274154013020160).

132750769430160 is an abundant number, since it is smaller than the sum of its proper divisors (415557256610160).

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

132750769430160 is a wasteful number, since it uses less digits than its factorization.

132750769430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109244 (or 2109232 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 132750769430160 in words is "one hundred thirty-two trillion, seven hundred fifty billion, seven hundred sixty-nine million, four hundred thirty thousand, one hundred sixty".