145001656800 has 2592 divisors, whose sum is σ = 726133524480. Its totient is φ = 26459136000.

The previous prime is 145001656781. The next prime is 145001656861. The reversal of 145001656800 is 8656100541.

145001656800 is a `hidden beast` number, since 14 + 500 + 1 + 65 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2457655171 + ... + 2457655229.

Almost surely, 2^145001656800 is an apocalyptic number.

145001656800 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 145001656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363066762240).

145001656800 is an abundant number, since it is smaller than the sum of its proper divisors (581131867680).

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

145001656800 is a wasteful number, since it uses less digits than its factorization.

145001656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

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

The spelling of 145001656800 in words is "one hundred forty-five billion, one million, six hundred fifty-six thousand, eight hundred".