145623127104 has 1008 divisors, whose sum is σ = 553194573568. Its totient is φ = 37005299712.

The previous prime is 145623127087. The next prime is 145623127157. The reversal of 145623127104 is 401721326541.

145623127104 is a `hidden beast` number, since 1 + 4 + 5 + 623 + 1 + 27 + 1 + 0 + 4 = 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 (36).

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, 1413816717 + ... + 1413816819.

Almost surely, 2^145623127104 is an apocalyptic number.

145623127104 is a gapful number since it is divisible by the number (14) 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 145623127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276597286784).

145623127104 is an abundant number, since it is smaller than the sum of its proper divisors (407571446464).

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

145623127104 is an equidigital number, since it uses as much as digits as its factorization.

145623127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 145623127104 in words is "one hundred forty-five billion, six hundred twenty-three million, one hundred twenty-seven thousand, one hundred four".