146368992 has 96 divisors (see below), whose sum is σ = 479049984. Its totient is φ = 38016000.

The previous prime is 146368973. The next prime is 146369009. The reversal of 146368992 is 299863641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509 + ... + 17292.

It is an arithmetic number, because the mean of its divisors is an integer number (4990104).

Almost surely, 2^146368992 is an apocalyptic number.

146368992 is a gapful number since it is divisible by the number (12) 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 146368992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239524992).

146368992 is an abundant number, since it is smaller than the sum of its proper divisors (332680992).

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

146368992 is a wasteful number, since it uses less digits than its factorization.

146368992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19832 (or 19824 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 146368992 is about 12098.3053358725. The cubic root of 146368992 is about 527.0069719321.

The spelling of 146368992 in words is "one hundred forty-six million, three hundred sixty-eight thousand, nine hundred ninety-two".