132749820 has 288 divisors, whose sum is σ = 499867200. Its totient is φ = 29127168.

The previous prime is 132749807. The next prime is 132749833. The reversal of 132749820 is 28947231.

It is an interprime number because it is at equal distance from previous prime (132749807) and next prime (132749833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767254 + ... + 767426.

It is an arithmetic number, because the mean of its divisors is an integer number (1735650).

Almost surely, 2^132749820 is an apocalyptic number.

132749820 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 132749820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249933600).

132749820 is an abundant number, since it is smaller than the sum of its proper divisors (367117380).

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

132749820 is a wasteful number, since it uses less digits than its factorization.

132749820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 132749820 is about 11521.7108104656. The cubic root of 132749820 is about 510.1266121634.

The spelling of 132749820 in words is "one hundred thirty-two million, seven hundred forty-nine thousand, eight hundred twenty".