181513332 has 384 divisors, whose sum is σ = 668344320. Its totient is φ = 41057280.

The previous prime is 181513313. The next prime is 181513337. The reversal of 181513332 is 233315181.

181513332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 181513296 and 181513305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181513337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2486448 + ... + 2486520.

It is an arithmetic number, because the mean of its divisors is an integer number (1740480).

Almost surely, 2^181513332 is an apocalyptic number.

181513332 is a gapful number since it is divisible by the number (12) 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 181513332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334172160).

181513332 is an abundant number, since it is smaller than the sum of its proper divisors (486830988).

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

181513332 is a wasteful number, since it uses less digits than its factorization.

181513332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 181513332 is about 13472.6883731496. The cubic root of 181513332 is about 566.1995367511.

The spelling of 181513332 in words is "one hundred eighty-one million, five hundred thirteen thousand, three hundred thirty-two".