45135331544240 has 160 divisors (see below), whose sum is σ = 123181551602304. Its totient is φ = 15055610019840.

The previous prime is 45135331544231. The next prime is 45135331544249. The reversal of 45135331544240 is 4244513353154.

It is an interprime number because it is at equal distance from previous prime (45135331544231) and next prime (45135331544249).

It is a junction number, because it is equal to n+sod(n) for n = 45135331544191 and 45135331544200.

It is not an unprimeable number, because it can be changed into a prime (45135331544249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307017632 + ... + 307164608.

Almost surely, 2^{45135331544240} is an apocalyptic number.

45135331544240 is a gapful number since it is divisible by the number (40) 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 45135331544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61590775801152).

45135331544240 is an abundant number, since it is smaller than the sum of its proper divisors (78046220058064).

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

45135331544240 is a wasteful number, since it uses less digits than its factorization.

45135331544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161855 (or 161849 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

Adding to 45135331544240 its reverse (4244513353154), we get a palindrome (49379844897394).

The spelling of 45135331544240 in words is "forty-five trillion, one hundred thirty-five billion, three hundred thirty-one million, five hundred forty-four thousand, two hundred forty".