152301840 has 80 divisors (see below), whose sum is σ = 475416000. Its totient is φ = 40331776.

The previous prime is 152301803. The next prime is 152301869. The reversal of 152301840 is 48103251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152301840.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33631 + ... + 37889.

It is an arithmetic number, because the mean of its divisors is an integer number (5942700).

Almost surely, 2^152301840 is an apocalyptic number.

152301840 is a gapful number since it is divisible by the number (10) 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 152301840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237708000).

152301840 is an abundant number, since it is smaller than the sum of its proper divisors (323114160).

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

152301840 is a wasteful number, since it uses less digits than its factorization.

152301840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 152301840 is about 12341.0631632773. The cubic root of 152301840 is about 534.0333550964.

The spelling of 152301840 in words is "one hundred fifty-two million, three hundred one thousand, eight hundred forty".