145631078320 has 320 divisors, whose sum is σ = 440691793920. Its totient is φ = 43512422400.

The previous prime is 145631078311. The next prime is 145631078377. The reversal of 145631078320 is 23870136541.

145631078320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9245011 + ... + 9260749.

It is an arithmetic number, because the mean of its divisors is an integer number (1377161856).

Almost surely, 2^145631078320 is an apocalyptic number.

145631078320 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 145631078320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220345896960).

145631078320 is an abundant number, since it is smaller than the sum of its proper divisors (295060715600).

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

145631078320 is a wasteful number, since it uses less digits than its factorization.

145631078320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844 (or 15838 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 145631078320 in words is "one hundred forty-five billion, six hundred thirty-one million, seventy-eight thousand, three hundred twenty".