145672040670000 has 400 divisors, whose sum is σ = 506579644098528. Its totient is φ = 35846553600000.

The previous prime is 145672040669983. The next prime is 145672040670007. The reversal of 145672040670000 is 76040276541.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (145672040670007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1287333424 + ... + 1287446576.

Almost surely, 2^{145672040670000} is an apocalyptic number.

145672040670000 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 145672040670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253289822049264).

145672040670000 is an abundant number, since it is smaller than the sum of its proper divisors (360907603428528).

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

145672040670000 is a wasteful number, since it uses less digits than its factorization.

145672040670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116498 (or 116477 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 145672040670000 in words is "one hundred forty-five trillion, six hundred seventy-two billion, forty million, six hundred seventy thousand".