135106162721400 has 192 divisors, whose sum is σ = 453184395592320. Its totient is φ = 33099285542400.

The previous prime is 135106162721357. The next prime is 135106162721443. The reversal of 135106162721400 is 4127261601531.

It is an interprime number because it is at equal distance from previous prime (135106162721357) and next prime (135106162721443).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39399942 + ... + 42691541.

It is an arithmetic number, because the mean of its divisors is an integer number (2360335393710).

Almost surely, 2^{135106162721400} is an apocalyptic number.

135106162721400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135106162721400 is an abundant number, since it is smaller than the sum of its proper divisors (318078232870920).

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

135106162721400 is a wasteful number, since it uses less digits than its factorization.

135106162721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82091726 (or 82091717 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 135106162721400 in words is "one hundred thirty-five trillion, one hundred six billion, one hundred sixty-two million, seven hundred twenty-one thousand, four hundred".