132753978 has 80 divisors (see below), whose sum is σ = 342486144. Its totient is φ = 37648800.

The previous prime is 132753949. The next prime is 132753979. The reversal of 132753978 is 879357231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132753979) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 189028 + ... + 189728.

Almost surely, 2^132753978 is an apocalyptic number.

132753978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132753978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243072).

132753978 is an abundant number, since it is smaller than the sum of its proper divisors (209732166).

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

132753978 is a wasteful number, since it uses less digits than its factorization.

132753978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 132753978 is about 11521.8912510056. The cubic root of 132753978 is about 510.1319381827.

The spelling of 132753978 in words is "one hundred thirty-two million, seven hundred fifty-three thousand, nine hundred seventy-eight".