13542453540 has 576 divisors, whose sum is σ = 54170468352. Its totient is φ = 2656281600.

The previous prime is 13542453539. The next prime is 13542453541. The reversal of 13542453540 is 4535424531.

13542453540 is a `hidden beast` number, since 1 + 3 + 542 + 45 + 35 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13542453539) and next prime (13542453541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13542453495 and 13542453504.

It is not an unprimeable number, because it can be changed into a prime (13542453541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18475014 + ... + 18475746.

It is an arithmetic number, because the mean of its divisors is an integer number (94045952).

Almost surely, 2^13542453540 is an apocalyptic number.

13542453540 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 13542453540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27085234176).

13542453540 is an abundant number, since it is smaller than the sum of its proper divisors (40628014812).

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

13542453540 is a wasteful number, since it uses less digits than its factorization.

13542453540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 13542453540 in words is "thirteen billion, five hundred forty-two million, four hundred fifty-three thousand, five hundred forty".