153982350 has 96 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 40756320.

The previous prime is 153982349. The next prime is 153982357. The reversal of 153982350 is 53289351.

153982350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153982350² = 47421128223045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153982357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225109 + ... + 225791.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^153982350 is an apocalyptic number.

153982350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153982350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

153982350 is an abundant number, since it is smaller than the sum of its proper divisors (273490290).

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

153982350 is a wasteful number, since it uses less digits than its factorization.

153982350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 153982350 is about 12408.9624868480. The cubic root of 153982350 is about 535.9903628437.

The spelling of 153982350 in words is "one hundred fifty-three million, nine hundred eighty-two thousand, three hundred fifty".