172581126144 has 136 divisors (see below), whose sum is σ = 525961708800. Its totient is φ = 49308499968.

The previous prime is 172581126071. The next prime is 172581126149. The reversal of 172581126144 is 441621185271.

It is a super-2 number, since 2×172581126144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 172581126096 and 172581126105.

It is not an unprimeable number, because it can be changed into a prime (172581126149) 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, 1313557 + ... + 1438955.

Almost surely, 2^172581126144 is an apocalyptic number.

172581126144 is a gapful number since it is divisible by the number (14) 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 172581126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262980854400).

172581126144 is an abundant number, since it is smaller than the sum of its proper divisors (353380582656).

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

172581126144 is an frugal number, since it uses more digits than its factorization.

172581126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125441 (or 125411 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The spelling of 172581126144 in words is "one hundred seventy-two billion, five hundred eighty-one million, one hundred twenty-six thousand, one hundred forty-four".