146808972 has 72 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 45692640.

The previous prime is 146808917. The next prime is 146808983. The reversal of 146808972 is 279808641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47053 + ... + 50075.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^146808972 is an apocalyptic number.

146808972 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 146808972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

146808972 is an abundant number, since it is smaller than the sum of its proper divisors (249455988).

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

146808972 is a wasteful number, since it uses less digits than its factorization.

146808972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 146808972 is about 12116.4752300329. The cubic root of 146808972 is about 527.5344984663.

The spelling of 146808972 in words is "one hundred forty-six million, eight hundred eight thousand, nine hundred seventy-two".