153513480 has 64 divisors (see below), whose sum is σ = 466119360. Its totient is φ = 40441088.

The previous prime is 153513473. The next prime is 153513487. The reversal of 153513480 is 84315351.

153513480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153513473) and next prime (153513487).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (153513487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254 + ... + 17666.

It is an arithmetic number, because the mean of its divisors is an integer number (7283115).

Almost surely, 2^153513480 is an apocalyptic number.

153513480 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 153513480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233059680).

153513480 is an abundant number, since it is smaller than the sum of its proper divisors (312605880).

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

153513480 is a wasteful number, since it uses less digits than its factorization.

153513480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15510 (or 15506 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 153513480 is about 12390.0556899475. The cubic root of 153513480 is about 535.4457867720.

The spelling of 153513480 in words is "one hundred fifty-three million, five hundred thirteen thousand, four hundred eighty".