78150132 has 72 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 25018560.

The previous prime is 78150131. The next prime is 78150181. The reversal of 78150132 is 23105187.

It is a super-2 number, since 2×78150132² = 12214886263234848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78150096 and 78150105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78150131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266578 + ... + 266870.

It is an arithmetic number, because the mean of its divisors is an integer number (2853760).

Almost surely, 2^78150132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78150132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

78150132 is an abundant number, since it is smaller than the sum of its proper divisors (127320588).

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

78150132 is a wasteful number, since it uses less digits than its factorization.

78150132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 78150132 is about 8840.2563311252. The cubic root of 78150132 is about 427.5398218778.

The spelling of 78150132 in words is "seventy-eight million, one hundred fifty thousand, one hundred thirty-two".