45329130 has 192 divisors, whose sum is σ = 152395776. Its totient is φ = 9072000.

The previous prime is 45329129. The next prime is 45329153. The reversal of 45329130 is 3192354.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45329094 and 45329103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214725 + ... + 214935.

It is an arithmetic number, because the mean of its divisors is an integer number (793728).

Almost surely, 2^45329130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45329130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76197888).

45329130 is an abundant number, since it is smaller than the sum of its proper divisors (107066646).

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

45329130 is a wasteful number, since it uses less digits than its factorization.

45329130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45329130 is about 6732.6911409926. The cubic root of 45329130 is about 356.5543954236.

The spelling of 45329130 in words is "forty-five million, three hundred twenty-nine thousand, one hundred thirty".