132356224 has 128 divisors (see below), whose sum is σ = 354372480. Its totient is φ = 47554560.

The previous prime is 132356219. The next prime is 132356249. The reversal of 132356224 is 422653231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132356192 and 132356201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127612 + ... + 128644.

It is an arithmetic number, because the mean of its divisors is an integer number (2768535).

Almost surely, 2^132356224 is an apocalyptic number.

132356224 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 132356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177186240).

132356224 is an abundant number, since it is smaller than the sum of its proper divisors (222016256).

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

132356224 is a wasteful number, since it uses less digits than its factorization.

132356224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 132356224 is about 11504.6175077662. The cubic root of 132356224 is about 509.6219471747.

The spelling of 132356224 in words is "one hundred thirty-two million, three hundred fifty-six thousand, two hundred twenty-four".