145319904000 has 432 divisors, whose sum is σ = 550445357280. Its totient is φ = 36711014400.

The previous prime is 145319903987. The next prime is 145319904043. The reversal of 145319904000 is 409913541.

It is a happy number.

145319904000 is a `hidden beast` number, since 14 + 53 + 199 + 0 + 400 + 0 = 666.

It is a super-2 number, since 2×145319904000² (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 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 47 ways as a sum of consecutive naturals, for example, 5458722 + ... + 5485278.

Almost surely, 2^145319904000 is an apocalyptic number.

145319904000 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 145319904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275222678640).

145319904000 is an abundant number, since it is smaller than the sum of its proper divisors (405125453280).

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

145319904000 is a wasteful number, since it uses less digits than its factorization.

145319904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26613 (or 26586 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 145319904000 in words is "one hundred forty-five billion, three hundred nineteen million, nine hundred four thousand".