145888167916800 has 1620 divisors, whose sum is σ = 587687387016576. Its totient is φ = 35665637990400.

The previous prime is 145888167916763. The next prime is 145888167916861. The reversal of 145888167916800 is 8619761888541.

145888167916800 is a `hidden beast` number, since 1 + 458 + 8 + 8 + 1 + 6 + 7 + 9 + 168 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 5801401827 + ... + 5801426973.

Almost surely, 2^{145888167916800} is an apocalyptic number.

145888167916800 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 145888167916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293843693508288).

145888167916800 is an abundant number, since it is smaller than the sum of its proper divisors (441799219099776).

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

145888167916800 is a wasteful number, since it uses less digits than its factorization.

145888167916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25254 (or 25207 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 145888167916800 in words is "one hundred forty-five trillion, eight hundred eighty-eight billion, one hundred sixty-seven million, nine hundred sixteen thousand, eight hundred".