145081547520 has 1152 divisors, whose sum is σ = 601293127680. Its totient is φ = 28992798720.

The previous prime is 145081547519. The next prime is 145081547531. The reversal of 145081547520 is 25745180541.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 639125647 + ... + 639125873.

It is an arithmetic number, because the mean of its divisors is an integer number (521955840).

Almost surely, 2^145081547520 is an apocalyptic number.

145081547520 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 145081547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300646563840).

145081547520 is an abundant number, since it is smaller than the sum of its proper divisors (456211580160).

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

145081547520 is a wasteful number, since it uses less digits than its factorization.

145081547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

It can be divided in two parts, 14508 and 1547520, that added together give a triangular number (1562028 = T₁₇₆₇).

The spelling of 145081547520 in words is "one hundred forty-five billion, eighty-one million, five hundred forty-seven thousand, five hundred twenty".