153864940 has 36 divisors (see below), whose sum is σ = 337798944. Its totient is φ = 58866016.

The previous prime is 153864929. The next prime is 153864941. The reversal of 153864940 is 49468351.

It is a super-2 number, since 2×153864940² = 47348839522407200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153864893 and 153864902.

It is not an unprimeable number, because it can be changed into a prime (153864941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3309 + ... + 17851.

It is an arithmetic number, because the mean of its divisors is an integer number (9383304).

Almost surely, 2^153864940 is an apocalyptic number.

153864940 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 153864940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168899472).

153864940 is an abundant number, since it is smaller than the sum of its proper divisors (183934004).

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

153864940 is a wasteful number, since it uses less digits than its factorization.

153864940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598 (or 14573 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 153864940 is about 12404.2307298760. The cubic root of 153864940 is about 535.8540991097.

The spelling of 153864940 in words is "one hundred fifty-three million, eight hundred sixty-four thousand, nine hundred forty".