146451984 has 120 divisors (see below), whose sum is σ = 446810688. Its totient is φ = 41207040.

The previous prime is 146451973. The next prime is 146451989. The reversal of 146451984 is 489154641.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (138240) is a multiple of the sum of its prime divisors (960).

It is not an unprimeable number, because it can be changed into a prime (146451989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166554 + ... + 167430.

Almost surely, 2^146451984 is an apocalyptic number.

146451984 is a gapful number since it is divisible by the number (14) 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 146451984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223405344).

146451984 is an abundant number, since it is smaller than the sum of its proper divisors (300358704).

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

146451984 is a wasteful number, since it uses less digits than its factorization.

146451984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 960 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 146451984 is about 12101.7347516792. The cubic root of 146451984 is about 527.1065583681.

The spelling of 146451984 in words is "one hundred forty-six million, four hundred fifty-one thousand, nine hundred eighty-four".