153820840 has 72 divisors (see below), whose sum is σ = 362541690. Its totient is φ = 58735872.

The previous prime is 153820837. The next prime is 153820873. The reversal of 153820840 is 48028351.

It can be written as a sum of positive squares in 9 ways, for example, as 109704676 + 44116164 = 10474^2 + 6642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2902254 + ... + 2902306.

Almost surely, 2^153820840 is an apocalyptic number.

153820840 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 153820840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181270845).

153820840 is an abundant number, since it is smaller than the sum of its proper divisors (208720850).

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

153820840 is an equidigital number, since it uses as much as digits as its factorization.

153820840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 153820840 is about 12402.4529831804. The cubic root of 153820840 is about 535.8028996101.

The spelling of 153820840 in words is "one hundred fifty-three million, eight hundred twenty thousand, eight hundred forty".