146734416 has 200 divisors, whose sum is σ = 459122400. Its totient is φ = 45100800.

The previous prime is 146734387. The next prime is 146734417. The reversal of 146734416 is 614437641.

146734416 is a `hidden beast` number, since 146 + 73 + 441 + 6 = 666.

It is a super-2 number, since 2×146734416² = 43061977677722112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146734417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1452766 + ... + 1452866.

It is an arithmetic number, because the mean of its divisors is an integer number (2295612).

Almost surely, 2^146734416 is an apocalyptic number.

146734416 is a gapful number since it is divisible by the number (16) 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 146734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561200).

146734416 is an abundant number, since it is smaller than the sum of its proper divisors (312387984).

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

146734416 is a wasteful number, since it uses less digits than its factorization.

146734416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 146734416 is about 12113.3982019910. The cubic root of 146734416 is about 527.4451816682.

The spelling of 146734416 in words is "one hundred forty-six million, seven hundred thirty-four thousand, four hundred sixteen".