153189414 has 128 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 39813120.

The previous prime is 153189409. The next prime is 153189437. The reversal of 153189414 is 414981351.

153189414 is a `hidden beast` number, since 1 + 531 + 89 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198822 + ... + 199590.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^153189414 is an apocalyptic number.

153189414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153189414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

153189414 is an abundant number, since it is smaller than the sum of its proper divisors (272589786).

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

153189414 is a wasteful number, since it uses less digits than its factorization.

153189414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 153189414 is about 12376.9711157456. The cubic root of 153189414 is about 535.0687470978.

The spelling of 153189414 in words is "one hundred fifty-three million, one hundred eighty-nine thousand, four hundred fourteen".