145637114071680 has 2048 divisors, whose sum is σ = 689113300377600. Its totient is φ = 28138603806720.

The previous prime is 145637114071637. The next prime is 145637114071781. The reversal of 145637114071680 is 86170411736541.

145637114071680 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 3 + 71 + 1 + 407 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1877381374 + ... + 1877458946.

It is an arithmetic number, because the mean of its divisors is an integer number (336481103700).

Almost surely, 2^{145637114071680} is an apocalyptic number.

145637114071680 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 145637114071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344556650188800).

145637114071680 is an abundant number, since it is smaller than the sum of its proper divisors (543476186305920).

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

145637114071680 is a wasteful number, since it uses less digits than its factorization.

145637114071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77719 (or 77701 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 145637114071680 in words is "one hundred forty-five trillion, six hundred thirty-seven billion, one hundred fourteen million, seventy-one thousand, six hundred eighty".