145805904000 has 384 divisors, whose sum is σ = 528574999680. Its totient is φ = 38514124800.

The previous prime is 145805903987. The next prime is 145805904043. The reversal of 145805904000 is 409508541.

145805904000 is a `hidden beast` number, since 14 + 58 + 0 + 590 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15403269 + ... + 15412731.

It is an arithmetic number, because the mean of its divisors is an integer number (1376497395).

Almost surely, 2^145805904000 is an apocalyptic number.

145805904000 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 145805904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264287499840).

145805904000 is an abundant number, since it is smaller than the sum of its proper divisors (382769095680).

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

145805904000 is a wasteful number, since it uses less digits than its factorization.

145805904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145805904000 in words is "one hundred forty-five billion, eight hundred five million, nine hundred four thousand".