132123960 has 224 divisors, whose sum is σ = 467454240. Its totient is φ = 33530112.

The previous prime is 132123919. The next prime is 132123961. The reversal of 132123960 is 69321231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 670582 + ... + 670778.

Almost surely, 2^132123960 is an apocalyptic number.

132123960 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 132123960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233727120).

132123960 is an abundant number, since it is smaller than the sum of its proper divisors (335330280).

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

132123960 is a wasteful number, since it uses less digits than its factorization.

132123960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132123960 is about 11494.5186937079. The cubic root of 132123960 is about 509.3236709667.

It can be divided in two parts, 1321 and 23960, that added together give a square (25281 = 159²).

The spelling of 132123960 in words is "one hundred thirty-two million, one hundred twenty-three thousand, nine hundred sixty".