135100127610 has 480 divisors, whose sum is σ = 456391013760. Its totient is φ = 28051494912.

The previous prime is 135100127587. The next prime is 135100127611. The reversal of 135100127610 is 16721001531.

135100127610 is a `hidden beast` number, since 1 + 35 + 1 + 0 + 0 + 12 + 7 + 610 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135100127611) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47518849 + ... + 47521691.

It is an arithmetic number, because the mean of its divisors is an integer number (950814612).

Almost surely, 2^135100127610 is an apocalyptic number.

135100127610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135100127610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228195506880).

135100127610 is an abundant number, since it is smaller than the sum of its proper divisors (321290886150).

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

135100127610 is a wasteful number, since it uses less digits than its factorization.

135100127610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 135100127610 in words is "one hundred thirty-five billion, one hundred million, one hundred twenty-seven thousand, six hundred ten".