145412621424 has 240 divisors, whose sum is σ = 487084396032. Its totient is φ = 39594880512.

The previous prime is 145412621399. The next prime is 145412621429. The reversal of 145412621424 is 424126214541.

145412621424 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 1 + 2 + 621 + 4 + 24 = 666.

It is a super-2 number, since 2×145412621424² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412621429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6410647 + ... + 6433289.

Almost surely, 2^145412621424 is an apocalyptic number.

145412621424 is a gapful number since it is divisible by the number (14) 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 145412621424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243542198016).

145412621424 is an abundant number, since it is smaller than the sum of its proper divisors (341671774608).

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

145412621424 is a wasteful number, since it uses less digits than its factorization.

145412621424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22964 (or 22955 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 145412621424 its reverse (424126214541), we get a palindrome (569538835965).

The spelling of 145412621424 in words is "one hundred forty-five billion, four hundred twelve million, six hundred twenty-one thousand, four hundred twenty-four".