123345153040 has 40 divisors (see below), whose sum is σ = 301871036160. Its totient is φ = 46741320576.

The previous prime is 123345153007. The next prime is 123345153049. The reversal of 123345153040 is 40351543321.

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

It is a super-2 number, since 2×123345153040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123345152993 and 123345153011.

It is not an unprimeable number, because it can be changed into a prime (123345153049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40572544 + ... + 40575583.

It is an arithmetic number, because the mean of its divisors is an integer number (7546775904).

Almost surely, 2^123345153040 is an apocalyptic number.

123345153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123345153040 is an abundant number, since it is smaller than the sum of its proper divisors (178525883120).

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

123345153040 is a wasteful number, since it uses less digits than its factorization.

123345153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81148159 (or 81148153 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 123345153040 its reverse (40351543321), we get a palindrome (163696696361).

The spelling of 123345153040 in words is "one hundred twenty-three billion, three hundred forty-five million, one hundred fifty-three thousand, forty".