153314040 has 128 divisors (see below), whose sum is σ = 528249600. Its totient is φ = 35205120.

The previous prime is 153313999. The next prime is 153314053. The reversal of 153314040 is 40413351.

It is a super-2 number, since 2×153314040² = 47010389722243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153313998 and 153314016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22024 + ... + 28136.

It is an arithmetic number, because the mean of its divisors is an integer number (4126950).

Almost surely, 2^153314040 is an apocalyptic number.

153314040 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 153314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264124800).

153314040 is an abundant number, since it is smaller than the sum of its proper divisors (374935560).

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

153314040 is a wasteful number, since it uses less digits than its factorization.

153314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 153314040 is about 12382.0046842181. The cubic root of 153314040 is about 535.2138080408.

Adding to 153314040 its reverse (40413351), we get a palindrome (193727391).

The spelling of 153314040 in words is "one hundred fifty-three million, three hundred fourteen thousand, forty".