132121920 has 112 divisors (see below), whose sum is σ = 479438208. Its totient is φ = 30197760.

The previous prime is 132121919. The next prime is 132121921. The reversal of 132121920 is 29121231.

It is an interprime number because it is at equal distance from previous prime (132121919) and next prime (132121921).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3111 + ... + 16550.

Almost surely, 2^132121920 is an apocalyptic number.

132121920 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 132121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239719104).

132121920 is an abundant number, since it is smaller than the sum of its proper divisors (347316288).

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

132121920 is a wasteful number, since it uses less digits than its factorization.

132121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19688 (or 19678 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 132121920 is about 11494.4299554175. The cubic root of 132121920 is about 509.3210496262.

The spelling of 132121920 in words is "one hundred thirty-two million, one hundred twenty-one thousand, nine hundred twenty".