145311113541 has 64 divisors (see below), whose sum is σ = 223209971712. Its totient is φ = 83280960000.

The previous prime is 145311113513. The next prime is 145311113561.

145311113541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145311113541 - 2¹⁵ = 145311080773 is a prime.

It is a super-2 number, since 2×145311113541² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145311113499 and 145311113508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145311113561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13561176 + ... + 13571886.

It is an arithmetic number, because the mean of its divisors is an integer number (3487655808).

Almost surely, 2^145311113541 is an apocalyptic number.

145311113541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145311113541 is a deficient number, since it is larger than the sum of its proper divisors (77898858171).

145311113541 is a wasteful number, since it uses less digits than its factorization.

145311113541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074.

The product of its digits is 3600, while the sum is 30.

It can be divided in two parts, 145311 and 113541, that added together give a palindrome (258852).

The spelling of 145311113541 in words is "one hundred forty-five billion, three hundred eleven million, one hundred thirteen thousand, five hundred forty-one".