145323269406720 has 1200 divisors, whose sum is σ = 553044901923360. Its totient is φ = 36380570812416.

The previous prime is 145323269406697. The next prime is 145323269406797. The reversal of 145323269406720 is 27604962323541.

145323269406720 is a `hidden beast` number, since 1 + 4 + 532 + 3 + 2 + 6 + 9 + 40 + 67 + 2 + 0 = 666.

It is a super-3 number, since 3×145323269406720³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51551353471 + ... + 51551356289.

Almost surely, 2^{145323269406720} is an apocalyptic number.

145323269406720 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 145323269406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276522450961680).

145323269406720 is an abundant number, since it is smaller than the sum of its proper divisors (407721632516640).

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

145323269406720 is an equidigital number, since it uses as much as digits as its factorization.

145323269406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 145323269406720 in words is "one hundred forty-five trillion, three hundred twenty-three billion, two hundred sixty-nine million, four hundred six thousand, seven hundred twenty".