145279630080 has 1728 divisors, whose sum is σ = 619973652480. Its totient is φ = 32248627200.

The previous prime is 145279630037. The next prime is 145279630091. The reversal of 145279630080 is 80036972541.

145279630080 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 7 + 9 + 630 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×145279630080² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2381633250 + ... + 2381633310.

It is a 1-persistent number, because it is pandigital, but 2⋅145279630080 = 290559260160 is not.

Almost surely, 2^145279630080 is an apocalyptic number.

145279630080 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 145279630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309986826240).

145279630080 is an abundant number, since it is smaller than the sum of its proper divisors (474694022400).

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

145279630080 is a wasteful number, since it uses less digits than its factorization.

145279630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 145279630080 in words is "one hundred forty-five billion, two hundred seventy-nine million, six hundred thirty thousand, eighty".