145662148038080 has 336 divisors, whose sum is σ = 359098675004160. Its totient is φ = 56276152123392.

The previous prime is 145662148038047. The next prime is 145662148038097. The reversal of 145662148038080 is 80830841266541.

It is a super-2 number, since 2×145662148038080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38002123844 + ... + 38002127676.

It is an arithmetic number, because the mean of its divisors is an integer number (1068746056560).

Almost surely, 2^{145662148038080} is an apocalyptic number.

145662148038080 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 145662148038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179549337502080).

145662148038080 is an abundant number, since it is smaller than the sum of its proper divisors (213436526966080).

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

145662148038080 is a wasteful number, since it uses less digits than its factorization.

145662148038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 145662148038080 in words is "one hundred forty-five trillion, six hundred sixty-two billion, one hundred forty-eight million, thirty-eight thousand, eighty".