45135211253154 has 64 divisors (see below), whose sum is σ = 99356034568320. Its totient is φ = 13555243089920.

The previous prime is 45135211253147. The next prime is 45135211253213.

45135211253154 is nontrivially palindromic in base 10.

45135211253154 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98343442 + ... + 98801330.

It is an arithmetic number, because the mean of its divisors is an integer number (1552438040130).

Almost surely, 2^{45135211253154} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45135211253154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49678017284160).

45135211253154 is an abundant number, since it is smaller than the sum of its proper divisors (54220823315166).

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

45135211253154 is a wasteful number, since it uses less digits than its factorization.

45135211253154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471235.

The product of its digits is 360000, while the sum is 42.

It can be divided in two parts, 4513521 and 1253154, that added together give a palindrome (5766675).

The spelling of 45135211253154 in words is "forty-five trillion, one hundred thirty-five billion, two hundred eleven million, two hundred fifty-three thousand, one hundred fifty-four".