145891971932560 has 40 divisors (see below), whose sum is σ = 387655811136576. Its totient is φ = 50020104662400.

The previous prime is 145891971932459. The next prime is 145891971932569. The reversal of 145891971932560 is 65239179198541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 145891971932560.

It is not an unprimeable number, because it can be changed into a prime (145891971932569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130260688666 + ... + 130260689785.

It is a 2-persistent number, because it is pandigital, and so is 2⋅145891971932560 = 291783943865120, but 3⋅145891971932560 = 437675915797680 is not.

Almost surely, 2^{145891971932560} is an apocalyptic number.

145891971932560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145891971932560 is an abundant number, since it is smaller than the sum of its proper divisors (241763839204016).

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

145891971932560 is a wasteful number, since it uses less digits than its factorization.

145891971932560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260521378471 (or 260521378465 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 70.

The spelling of 145891971932560 in words is "one hundred forty-five trillion, eight hundred ninety-one billion, nine hundred seventy-one million, nine hundred thirty-two thousand, five hundred sixty".