132737040 has 240 divisors, whose sum is σ = 485921280. Its totient is φ = 32348160.

The previous prime is 132736987. The next prime is 132737047. The reversal of 132737040 is 40737231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 132736995 and 132737013.

It is not an unprimeable number, because it can be changed into a prime (132737047) 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, 423924 + ... + 424236.

It is an arithmetic number, because the mean of its divisors is an integer number (2024672).

Almost surely, 2^132737040 is an apocalyptic number.

132737040 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 132737040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242960640).

132737040 is an abundant number, since it is smaller than the sum of its proper divisors (353184240).

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

132737040 is a wasteful number, since it uses less digits than its factorization.

132737040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 132737040 is about 11521.1561919800. The cubic root of 132737040 is about 510.1102414511.

The spelling of 132737040 in words is "one hundred thirty-two million, seven hundred thirty-seven thousand, forty".