45156 has 24 divisors (see below), whose sum is σ = 108864. Its totient is φ = 14560.

The previous prime is 45139. The next prime is 45161. The reversal of 45156 is 65154.

45156 = T₃₁ + T₃₂ + ... + T₆₆.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45156.

It is an unprimeable number.

45156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁴⁵¹⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 212×213.

It is an amenable number.

45156 is an abundant number, since it is smaller than the sum of its proper divisors (63708).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

45156 is a wasteful number, since it uses less digits than its factorization.

45156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 45156 is about 212.4994117639. The cubic root of 45156 is about 35.6099875188.

The spelling of 45156 in words is "forty-five thousand, one hundred fifty-six".