145323521640 has 288 divisors, whose sum is σ = 520880199840. Its totient is φ = 35111957760.

The previous prime is 145323521621. The next prime is 145323521659. The reversal of 145323521640 is 46125323541.

145323521640 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 3 + 5 + 2 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (145323521621) and next prime (145323521659).

It is a super-2 number, since 2×145323521640² (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 junction number, because it is equal to n+sod(n) for n = 145323521595 and 145323521604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13367487 + ... + 13378353.

It is an arithmetic number, because the mean of its divisors is an integer number (1808611805).

Almost surely, 2^145323521640 is an apocalyptic number.

145323521640 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 145323521640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260440099920).

145323521640 is an abundant number, since it is smaller than the sum of its proper divisors (375556678200).

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

145323521640 is a wasteful number, since it uses less digits than its factorization.

145323521640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 145323521640 in words is "one hundred forty-five billion, three hundred twenty-three million, five hundred twenty-one thousand, six hundred forty".