145140480 has 216 divisors, whose sum is σ = 515603088. Its totient is φ = 37675008.

The previous prime is 145140467. The next prime is 145140497. The reversal of 145140480 is 84041541.

145140480 = 256² + 257² + ... + 767².

It is a happy number.

145140480 is a `hidden beast` number, since 1 + 45 + 140 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495214 + ... + 495506.

Almost surely, 2^145140480 is an apocalyptic number.

145140480 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 145140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257801544).

145140480 is an abundant number, since it is smaller than the sum of its proper divisors (370462608).

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

145140480 is a wasteful number, since it uses less digits than its factorization.

145140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145140480 is about 12047.4262811606. The cubic root of 145140480 is about 525.5283931834.

It can be divided in two parts, 145 and 140480, that added together give a square (140625 = 375²).

The spelling of 145140480 in words is "one hundred forty-five million, one hundred forty thousand, four hundred eighty".