145061280 has 576 divisors, whose sum is σ = 647232768. Its totient is φ = 29859840.

The previous prime is 145061251. The next prime is 145061303. The reversal of 145061280 is 82160541.

145061280 is a `hidden beast` number, since 1 + 45 + 0 + 612 + 8 + 0 = 666.

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538060 + ... + 3538100.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 2^145061280 is an apocalyptic number.

145061280 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 145061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323616384).

145061280 is an abundant number, since it is smaller than the sum of its proper divisors (502171488).

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

145061280 is a wasteful number, since it uses less digits than its factorization.

145061280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 145061280 is about 12044.1388235108. The cubic root of 145061280 is about 525.4327859901.

The spelling of 145061280 in words is "one hundred forty-five million, sixty-one thousand, two hundred eighty".