153436416 has 72 divisors (see below), whose sum is σ = 466718784. Its totient is φ = 43837440.

The previous prime is 153436399. The next prime is 153436463. The reversal of 153436416 is 614634351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8895 + ... + 19646.

Almost surely, 2^153436416 is an apocalyptic number.

153436416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153436416 is an abundant number, since it is smaller than the sum of its proper divisors (313282368).

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

153436416 is an equidigital number, since it uses as much as digits as its factorization.

153436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28567 (or 28553 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 153436416 is about 12386.9453861717. The cubic root of 153436416 is about 535.3561735757.

It can be divided in two parts, 1534 and 36416, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 153436416 in words is "one hundred fifty-three million, four hundred thirty-six thousand, four hundred sixteen".