145713681000000 has 784 divisors, whose sum is σ = 566956461614400. Its totient is φ = 36571161600000.

The previous prime is 145713680999989. The next prime is 145713681000007. The reversal of 145713681000000 is 186317541.

145713681000000 is a `hidden beast` number, since 1 + 4 + 571 + 3 + 6 + 81 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×145713681000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145713681000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 458841271 + ... + 459158729.

Almost surely, 2^{145713681000000} is an apocalyptic number.

145713681000000 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 145713681000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283478230807200).

145713681000000 is an abundant number, since it is smaller than the sum of its proper divisors (421242780614400).

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

145713681000000 is an frugal number, since it uses more digits than its factorization.

145713681000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317527 (or 317486 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 145713681000000 in words is "one hundred forty-five trillion, seven hundred thirteen billion, six hundred eighty-one million", and thus it is an aban number.