45467136 has 320 divisors, whose sum is σ = 164989440. Its totient is φ = 12165120.

The previous prime is 45467131. The next prime is 45467137. The reversal of 45467136 is 63176454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45467136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45467131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976821 + ... + 1976843.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^45467136 is an apocalyptic number.

45467136 is a gapful number since it is divisible by the number (46) 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 45467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

45467136 is an abundant number, since it is smaller than the sum of its proper divisors (119522304).

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

45467136 is a wasteful number, since it uses less digits than its factorization.

45467136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45467136 is about 6742.9322998233. The cubic root of 45467136 is about 356.9158759485.

The spelling of 45467136 in words is "forty-five million, four hundred sixty-seven thousand, one hundred thirty-six".