146955312 has 180 divisors, whose sum is σ = 487904040. Its totient is φ = 41158656.

The previous prime is 146955311. The next prime is 146955313. The reversal of 146955312 is 213559641.

It is an interprime number because it is at equal distance from previous prime (146955311) and next prime (146955313).

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 (146955311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416128 + ... + 416480.

It is an arithmetic number, because the mean of its divisors is an integer number (2710578).

Almost surely, 2^146955312 is an apocalyptic number.

146955312 is a gapful number since it is divisible by the number (12) 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 146955312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243952020).

146955312 is an abundant number, since it is smaller than the sum of its proper divisors (340948728).

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

146955312 is a wasteful number, since it uses less digits than its factorization.

146955312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 146955312 is about 12122.5126108410. The cubic root of 146955312 is about 527.7097233650.

The spelling of 146955312 in words is "one hundred forty-six million, nine hundred fifty-five thousand, three hundred twelve".