146009955 has 128 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 58931712.

The previous prime is 146009947. The next prime is 146009959. The reversal of 146009955 is 559900641.

It is not a de Polignac number, because 146009955 - 2³ = 146009947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (146009959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2474716 + ... + 2474774.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2^146009955 is an apocalyptic number.

146009955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146009955 is an abundant number, since it is smaller than the sum of its proper divisors (160422045).

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

146009955 is a wasteful number, since it uses less digits than its factorization.

146009955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 146009955 is about 12083.4579074038. The cubic root of 146009955 is about 526.5757104494.

The spelling of 146009955 in words is "one hundred forty-six million, nine thousand, nine hundred fifty-five".