13542106500 has 720 divisors, whose sum is σ = 51111300240. Its totient is φ = 3102105600.

The previous prime is 13542106499. The next prime is 13542106547. The reversal of 13542106500 is 560124531.

13542106500 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 1 + 0 + 650 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 13366596996 + 175509504 = 115614^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 152158456 + ... + 152158544.

It is an arithmetic number, because the mean of its divisors is an integer number (70987917).

Almost surely, 2^13542106500 is an apocalyptic number.

13542106500 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 13542106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25555650120).

13542106500 is an abundant number, since it is smaller than the sum of its proper divisors (37569193740).

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

13542106500 is a wasteful number, since it uses less digits than its factorization.

13542106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13542106500 in words is "thirteen billion, five hundred forty-two million, one hundred six thousand, five hundred".