145376622720 has 320 divisors, whose sum is σ = 593334244800. Its totient is φ = 33228859392.

The previous prime is 145376622719. The next prime is 145376622763. The reversal of 145376622720 is 27226673541.

145376622720 is a `hidden beast` number, since 1 + 4 + 5 + 376 + 6 + 2 + 272 + 0 = 666.

145376622720 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 (320).

It is a super-2 number, since 2×145376622720² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162571 + ... + 563189.

It is an arithmetic number, because the mean of its divisors is an integer number (1854169515).

Almost surely, 2^145376622720 is an apocalyptic number.

145376622720 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 145376622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296667122400).

145376622720 is an abundant number, since it is smaller than the sum of its proper divisors (447957622080).

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

145376622720 is an equidigital number, since it uses as much as digits as its factorization.

145376622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400657 (or 400636 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 145376622720 in words is "one hundred forty-five billion, three hundred seventy-six million, six hundred twenty-two thousand, seven hundred twenty".