145940480 has 112 divisors (see below), whose sum is σ = 401055840. Its totient is φ = 49938432.

The previous prime is 145940447. The next prime is 145940491. The reversal of 145940480 is 84049541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145940480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286466 + ... + 286974.

Almost surely, 2^145940480 is an apocalyptic number.

145940480 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 145940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200527920).

145940480 is an abundant number, since it is smaller than the sum of its proper divisors (255115360).

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

145940480 is an frugal number, since it uses more digits than its factorization.

145940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 145940480 is about 12080.5827673999. The cubic root of 145940480 is about 526.4921781279.

The spelling of 145940480 in words is "one hundred forty-five million, nine hundred forty thousand, four hundred eighty".