153105040 has 80 divisors (see below), whose sum is σ = 408813120. Its totient is φ = 52738560.

The previous prime is 153105023. The next prime is 153105041. The reversal of 153105040 is 40501351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 153104999 and 153105017.

It is not an unprimeable number, because it can be changed into a prime (153105041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12142 + ... + 21298.

It is an arithmetic number, because the mean of its divisors is an integer number (5110164).

Almost surely, 2^153105040 is an apocalyptic number.

153105040 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 153105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204406560).

153105040 is an abundant number, since it is smaller than the sum of its proper divisors (255708080).

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

153105040 is a wasteful number, since it uses less digits than its factorization.

153105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200 (or 9194 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 153105040 is about 12373.5621386891. The cubic root of 153105040 is about 534.9704936124.

Adding to 153105040 its reverse (40501351), we get a palindrome (193606391).

The spelling of 153105040 in words is "one hundred fifty-three million, one hundred five thousand, forty".