146093220 has 240 divisors, whose sum is σ = 564630528. Its totient is φ = 30792960.

The previous prime is 146093201. The next prime is 146093239. The reversal of 146093220 is 22390641.

146093220 is a `hidden beast` number, since 1 + 4 + 609 + 32 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (146093201) and next prime (146093239).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146925 + ... + 147915.

Almost surely, 2^146093220 is an apocalyptic number.

146093220 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 146093220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282315264).

146093220 is an abundant number, since it is smaller than the sum of its proper divisors (418537308).

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

146093220 is a wasteful number, since it uses less digits than its factorization.

146093220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 146093220 is about 12086.9028290956. The cubic root of 146093220 is about 526.6757880882.

The spelling of 146093220 in words is "one hundred forty-six million, ninety-three thousand, two hundred twenty".