146921320 has 128 divisors (see below), whose sum is σ = 410941440. Its totient is φ = 46033920.

The previous prime is 146921317. The next prime is 146921321. The reversal of 146921320 is 23129641.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (146921321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 658729 + ... + 658951.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^146921320 is an apocalyptic number.

146921320 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 146921320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

146921320 is an abundant number, since it is smaller than the sum of its proper divisors (264020120).

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

146921320 is a wasteful number, since it uses less digits than its factorization.

146921320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 146921320 is about 12121.1105101802. The cubic root of 146921320 is about 527.6690323279.

The spelling of 146921320 in words is "one hundred forty-six million, nine hundred twenty-one thousand, three hundred twenty".