145312440 has 192 divisors, whose sum is σ = 546406560. Its totient is φ = 30643200.

The previous prime is 145312439. The next prime is 145312451. The reversal of 145312440 is 44213541.

It is a super-2 number, since 2×145312440² = 42231410437507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145312440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75490 + ... + 77390.

Almost surely, 2^145312440 is an apocalyptic number.

145312440 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 145312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273203280).

145312440 is an abundant number, since it is smaller than the sum of its proper divisors (401094120).

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

145312440 is a wasteful number, since it uses less digits than its factorization.

145312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145312440 is about 12054.5609625569. The cubic root of 145312440 is about 525.7358570060.

Adding to 145312440 its reverse (44213541), we get a palindrome (189525981).

The spelling of 145312440 in words is "one hundred forty-five million, three hundred twelve thousand, four hundred forty".