151984 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 61248.

The previous prime is 151969. The next prime is 152003. The reversal of 151984 is 489151.

It is a happy number.

It is a hoax number, since the sum of its digits (28) 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 (28).

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 7 ways as a sum of consecutive naturals, for example, 2547 + ... + 2605.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2¹⁵¹⁹⁸⁴ is an apocalyptic number.

151984 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 151984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

151984 is an abundant number, since it is smaller than the sum of its proper divisors (205136).

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

151984 is a wasteful number, since it uses less digits than its factorization.

151984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 151984 is about 389.8512536853. The cubic root of 151984 is about 53.3661603462.

Subtracting from 151984 its product of digits (1440), we obtain a square (150544 = 388²).

The spelling of 151984 in words is "one hundred fifty-one thousand, nine hundred eighty-four".