132235157762064 has 320 divisors, whose sum is σ = 434276009556480. Its totient is φ = 37738930268160.

The previous prime is 132235157762063. The next prime is 132235157762069. The reversal of 132235157762064 is 460267751532231.

132235157762064 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 5 + 1 + 5 + 7 + 7 + 620 + 6 + 4 = 666.

It is a super-2 number, since 2×132235157762064² (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 self number, because there is not a number n which added to its sum of digits gives 132235157762064.

It is not an unprimeable number, because it can be changed into a prime (132235157762063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20594165574 + ... + 20594171994.

It is an arithmetic number, because the mean of its divisors is an integer number (1357112529864).

Almost surely, 2^{132235157762064} is an apocalyptic number.

132235157762064 is a gapful number since it is divisible by the number (14) 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 132235157762064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217138004778240).

132235157762064 is an abundant number, since it is smaller than the sum of its proper divisors (302040851794416).

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

132235157762064 is a wasteful number, since it uses less digits than its factorization.

132235157762064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13043 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 132235157762064 in words is "one hundred thirty-two trillion, two hundred thirty-five billion, one hundred fifty-seven million, seven hundred sixty-two thousand, sixty-four".