145836936000 has 1008 divisors, whose sum is σ = 629742964032. Its totient is φ = 33312384000.

The previous prime is 145836935989. The next prime is 145836936017. The reversal of 145836936000 is 639638541.

145836936000 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 36 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95255235 + ... + 95256765.

It is an arithmetic number, because the mean of its divisors is an integer number (624745004).

Almost surely, 2^145836936000 is an apocalyptic number.

145836936000 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 145836936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314871482016).

145836936000 is an abundant number, since it is smaller than the sum of its proper divisors (483906028032).

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

145836936000 is an equidigital number, since it uses as much as digits as its factorization.

145836936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 145836936000 in words is "one hundred forty-five billion, eight hundred thirty-six million, nine hundred thirty-six thousand".