145510400340 has 288 divisors, whose sum is σ = 455836792320. Its totient is φ = 37558591488.

The previous prime is 145510400323. The next prime is 145510400341. The reversal of 145510400340 is 43004015541.

It is a happy number.

145510400340 is a `hidden beast` number, since 145 + 510 + 4 + 0 + 0 + 3 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145510400341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202378501 + ... + 202379219.

It is an arithmetic number, because the mean of its divisors is an integer number (1582766640).

Almost surely, 2^145510400340 is an apocalyptic number.

145510400340 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 145510400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227918396160).

145510400340 is an abundant number, since it is smaller than the sum of its proper divisors (310326391980).

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

145510400340 is a wasteful number, since it uses less digits than its factorization.

145510400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145510400340 its reverse (43004015541), we get a palindrome (188514415881).

The spelling of 145510400340 in words is "one hundred forty-five billion, five hundred ten million, four hundred thousand, three hundred forty".