146030976 has 288 divisors, whose sum is σ = 529074000. Its totient is φ = 38320128.

The previous prime is 146030893. The next prime is 146030993. The reversal of 146030976 is 679030641.

It is a tau number, because it is divible by the number of its divisors (288).

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 146030976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733725 + ... + 733923.

Almost surely, 2^146030976 is an apocalyptic number.

146030976 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 146030976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264537000).

146030976 is an abundant number, since it is smaller than the sum of its proper divisors (383043024).

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

146030976 is a wasteful number, since it uses less digits than its factorization.

146030976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 146030976 is about 12084.3277016142. The cubic root of 146030976 is about 526.6009795411.

The spelling of 146030976 in words is "one hundred forty-six million, thirty thousand, nine hundred seventy-six".