145117440 has 576 divisors, whose sum is σ = 618105600. Its totient is φ = 31850496.

The previous prime is 145117393. The next prime is 145117447. The reversal of 145117440 is 44711541.

145117440 is a `hidden beast` number, since 1 + 451 + 174 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (145117447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7637751 + ... + 7637769.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 2^145117440 is an apocalyptic number.

145117440 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 145117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309052800).

145117440 is an abundant number, since it is smaller than the sum of its proper divisors (472988160).

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

145117440 is a wasteful number, since it uses less digits than its factorization.

145117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 145117440 is about 12046.4700223758. The cubic root of 145117440 is about 525.5005837697.

Adding to 145117440 its reverse (44711541), we get a palindrome (189828981).

The spelling of 145117440 in words is "one hundred forty-five million, one hundred seventeen thousand, four hundred forty".