145504080 has 320 divisors, whose sum is σ = 539965440. Its totient is φ = 35942400.

The previous prime is 145504067. The next prime is 145504103. The reversal of 145504080 is 80405541.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2745334 + ... + 2745386.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^145504080 is an apocalyptic number.

145504080 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 145504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

145504080 is an abundant number, since it is smaller than the sum of its proper divisors (394461360).

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

145504080 is a wasteful number, since it uses less digits than its factorization.

145504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145504080 is about 12062.5072020704. The cubic root of 145504080 is about 525.9668713202.

The spelling of 145504080 in words is "one hundred forty-five million, five hundred four thousand, eighty".