132738060 has 288 divisors, whose sum is σ = 489065472. Its totient is φ = 26611200.

The previous prime is 132738059. The next prime is 132738061. The reversal of 132738060 is 60837231.

It is an interprime number because it is at equal distance from previous prime (132738059) and next prime (132738061).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132738061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878985 + ... + 879135.

It is an arithmetic number, because the mean of its divisors is an integer number (1698144).

Almost surely, 2^132738060 is an apocalyptic number.

132738060 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 132738060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244532736).

132738060 is an abundant number, since it is smaller than the sum of its proper divisors (356327412).

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

132738060 is a wasteful number, since it uses less digits than its factorization.

132738060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 132738060 is about 11521.2004582856. The cubic root of 132738060 is about 510.1115480724. Note that the first 3 decimals are identical.

The spelling of 132738060 in words is "one hundred thirty-two million, seven hundred thirty-eight thousand, sixty".