123540145254240 has 384 divisors, whose sum is σ = 457317904748544. Its totient is φ = 27637306368000.

The previous prime is 123540145254209. The next prime is 123540145254287. The reversal of 123540145254240 is 42452541045321.

123540145254240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 123540145254192 and 123540145254201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237303025 + ... + 237823055.

It is an arithmetic number, because the mean of its divisors is an integer number (1190932043616).

Almost surely, 2^{123540145254240} is an apocalyptic number.

123540145254240 is a gapful number since it is divisible by the number (10) 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 123540145254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228658952374272).

123540145254240 is an abundant number, since it is smaller than the sum of its proper divisors (333777759494304).

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

123540145254240 is a wasteful number, since it uses less digits than its factorization.

123540145254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523534 (or 523526 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 123540145254240 its reverse (42452541045321), we get a palindrome (165992686299561).

The spelling of 123540145254240 in words is "one hundred twenty-three trillion, five hundred forty billion, one hundred forty-five million, two hundred fifty-four thousand, two hundred forty".