153786960 has 120 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 40732416.

The previous prime is 153786949. The next prime is 153786977. The reversal of 153786960 is 69687351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 119601 + ... + 120879.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2^153786960 is an apocalyptic number.

153786960 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 153786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

153786960 is an abundant number, since it is smaller than the sum of its proper divisors (366179760).

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

153786960 is a wasteful number, since it uses less digits than its factorization.

153786960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 153786960 is about 12401.0870491260. The cubic root of 153786960 is about 535.7635587441.

The spelling of 153786960 in words is "one hundred fifty-three million, seven hundred eighty-six thousand, nine hundred sixty".