146553984 has 48 divisors (see below), whose sum is σ = 421727670. Its totient is φ = 48850944.

The previous prime is 146553983. The next prime is 146553989. The reversal of 146553984 is 489355641.

146553984 is a `hidden beast` number, since 1 + 4 + 6 + 553 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 5419584 = 11880^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (146553983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62457 + ... + 64760.

Almost surely, 2^146553984 is an apocalyptic number.

It is an amenable number.

146553984 is an abundant number, since it is smaller than the sum of its proper divisors (275173686).

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

146553984 is a wasteful number, since it uses less digits than its factorization.

146553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127237 (or 127222 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 146553984 is about 12105.9482899936. The cubic root of 146553984 is about 527.2289019749.

The spelling of 146553984 in words is "one hundred forty-six million, five hundred fifty-three thousand, nine hundred eighty-four".