145081149360 has 160 divisors (see below), whose sum is σ = 514536924672. Its totient is φ = 33126881280.

The previous prime is 145081149349. The next prime is 145081149443. The reversal of 145081149360 is 63941180541.

145081149360 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586812 + ... + 1675748.

Almost surely, 2^145081149360 is an apocalyptic number.

145081149360 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 145081149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257268462336).

145081149360 is an abundant number, since it is smaller than the sum of its proper divisors (369455775312).

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

145081149360 is a wasteful number, since it uses less digits than its factorization.

145081149360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89931 (or 89925 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 145081149360 in words is "one hundred forty-five billion, eighty-one million, one hundred forty-nine thousand, three hundred sixty".