145989885043800 has 1920 divisors, whose sum is σ = 616304304000000. Its totient is φ = 31286677524480.

The previous prime is 145989885043763. The next prime is 145989885043811. The reversal of 145989885043800 is 8340588989541.

145989885043800 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 8 + 9 + 88 + 504 + 38 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 112041353949 + ... + 112041355251.

It is an arithmetic number, because the mean of its divisors is an integer number (320991825000).

Almost surely, 2^{145989885043800} is an apocalyptic number.

145989885043800 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 145989885043800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308152152000000).

145989885043800 is an abundant number, since it is smaller than the sum of its proper divisors (470314418956200).

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

145989885043800 is a wasteful number, since it uses less digits than its factorization.

145989885043800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 145989885043800 in words is "one hundred forty-five trillion, nine hundred eighty-nine billion, eight hundred eighty-five million, forty-three thousand, eight hundred".