146916720 has 160 divisors (see below), whose sum is σ = 535947840. Its totient is φ = 36864000.

The previous prime is 146916701. The next prime is 146916727. The reversal of 146916720 is 27619641.

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 (146916727) 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 31 ways as a sum of consecutive naturals, for example, 34720 + ... + 38720.

It is an arithmetic number, because the mean of its divisors is an integer number (3349674).

Almost surely, 2^146916720 is an apocalyptic number.

146916720 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 146916720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267973920).

146916720 is an abundant number, since it is smaller than the sum of its proper divisors (389031120).

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

146916720 is a wasteful number, since it uses less digits than its factorization.

146916720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 146916720 is about 12120.9207571042. The cubic root of 146916720 is about 527.6635252922.

The spelling of 146916720 in words is "one hundred forty-six million, nine hundred sixteen thousand, seven hundred twenty".