132773940 has 144 divisors (see below), whose sum is σ = 452769408. Its totient is φ = 31249152.

The previous prime is 132773939. The next prime is 132773941. The reversal of 132773940 is 49377231.

It is an interprime number because it is at equal distance from previous prime (132773939) and next prime (132773941).

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

It is a junction number, because it is equal to n+sod(n) for n = 132773895 and 132773904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132773941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52587 + ... + 55053.

It is an arithmetic number, because the mean of its divisors is an integer number (3144232).

Almost surely, 2^132773940 is an apocalyptic number.

132773940 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 132773940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226384704).

132773940 is an abundant number, since it is smaller than the sum of its proper divisors (319995468).

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

132773940 is a wasteful number, since it uses less digits than its factorization.

132773940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 132773940 is about 11522.7574824779. The cubic root of 132773940 is about 510.1575061381.

The spelling of 132773940 in words is "one hundred thirty-two million, seven hundred seventy-three thousand, nine hundred forty".