145015504480 has 384 divisors, whose sum is σ = 435149438976. Its totient is φ = 44358451200.

The previous prime is 145015504433. The next prime is 145015504493. The reversal of 145015504480 is 84405510541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344454670 + ... + 344455090.

It is an arithmetic number, because the mean of its divisors is an integer number (1133201664).

Almost surely, 2^145015504480 is an apocalyptic number.

145015504480 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 145015504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217574719488).

145015504480 is an abundant number, since it is smaller than the sum of its proper divisors (290133934496).

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

145015504480 is a wasteful number, since it uses less digits than its factorization.

145015504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

The spelling of 145015504480 in words is "one hundred forty-five billion, fifteen million, five hundred four thousand, four hundred eighty".