146992320 has 280 divisors, whose sum is σ = 537722064. Its totient is φ = 38098944.

The previous prime is 146992301. The next prime is 146992327. The reversal of 146992320 is 23299641.

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

It is not an unprimeable number, because it can be changed into a prime (146992327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1373707 + ... + 1373813.

Almost surely, 2^146992320 is an apocalyptic number.

146992320 is a gapful number since it is divisible by the number (10) 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 146992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268861032).

146992320 is an abundant number, since it is smaller than the sum of its proper divisors (390729744).

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

146992320 is a wasteful number, since it uses less digits than its factorization.

146992320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 146992320 is about 12124.0389309834. The cubic root of 146992320 is about 527.7540176520.

The spelling of 146992320 in words is "one hundred forty-six million, nine hundred ninety-two thousand, three hundred twenty".