146751220 has 72 divisors (see below), whose sum is σ = 387176832. Its totient is φ = 45735360.

The previous prime is 146751173. The next prime is 146751233. The reversal of 146751220 is 22157641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12609 + ... + 21271.

It is an arithmetic number, because the mean of its divisors is an integer number (5377456).

Almost surely, 2^146751220 is an apocalyptic number.

146751220 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 146751220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193588416).

146751220 is an abundant number, since it is smaller than the sum of its proper divisors (240425612).

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

146751220 is a wasteful number, since it uses less digits than its factorization.

146751220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 146751220 is about 12114.0917942700. The cubic root of 146751220 is about 527.4653152100.

The spelling of 146751220 in words is "one hundred forty-six million, seven hundred fifty-one thousand, two hundred twenty".