132268762211400 has 1152 divisors, whose sum is σ = 497579599296000. Its totient is φ = 31291808440320.

The previous prime is 132268762211371. The next prime is 132268762211447. The reversal of 132268762211400 is 4112267862231.

132268762211400 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 6 + 8 + 7 + 622 + 1 + 14 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168067041807 + ... + 168067042593.

It is an arithmetic number, because the mean of its divisors is an integer number (431926735500).

Almost surely, 2^{132268762211400} is an apocalyptic number.

132268762211400 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 132268762211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248789799648000).

132268762211400 is an abundant number, since it is smaller than the sum of its proper divisors (365310837084600).

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

132268762211400 is a wasteful number, since it uses less digits than its factorization.

132268762211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 132268762211400 in words is "one hundred thirty-two trillion, two hundred sixty-eight billion, seven hundred sixty-two million, two hundred eleven thousand, four hundred".