145316096640 has 1152 divisors, whose sum is σ = 609052167360. Its totient is φ = 31629312000.

The previous prime is 145316096617. The next prime is 145316096669. The reversal of 145316096640 is 46690613541.

145316096640 is a `hidden beast` number, since 1 + 4 + 5 + 31 + 609 + 6 + 6 + 4 + 0 = 666.

145316096640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×145316096640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 439021275 + ... + 439021605.

Almost surely, 2^145316096640 is an apocalyptic number.

145316096640 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 145316096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304526083680).

145316096640 is an abundant number, since it is smaller than the sum of its proper divisors (463736070720).

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

145316096640 is a wasteful number, since it uses less digits than its factorization.

145316096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 145316096640 in words is "one hundred forty-five billion, three hundred sixteen million, ninety-six thousand, six hundred forty".