145153680 has 120 divisors (see below), whose sum is σ = 523484352. Its totient is φ = 33175296.

The previous prime is 145153663. The next prime is 145153693. The reversal of 145153680 is 86351541.

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

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 23 ways as a sum of consecutive naturals, for example, 5589 + ... + 17931.

Almost surely, 2^145153680 is an apocalyptic number.

145153680 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 145153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261742176).

145153680 is an abundant number, since it is smaller than the sum of its proper divisors (378330672).

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

145153680 is a wasteful number, since it uses less digits than its factorization.

145153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 145153680 is about 12047.9741035578. The cubic root of 145153680 is about 525.5443243339.

The spelling of 145153680 in words is "one hundred forty-five million, one hundred fifty-three thousand, six hundred eighty".