135049769400 has 1152 divisors, whose sum is σ = 569588544000. Its totient is φ = 25674485760.

The previous prime is 135049769399. The next prime is 135049769401. The reversal of 135049769400 is 4967940531.

It is an interprime number because it is at equal distance from previous prime (135049769399) and next prime (135049769401).

It is a self number, because there is not a number n which added to its sum of digits gives 135049769400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135049769401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2015668167 + ... + 2015668233.

It is an arithmetic number, because the mean of its divisors is an integer number (494434500).

Almost surely, 2^135049769400 is an apocalyptic number.

135049769400 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 135049769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284794272000).

135049769400 is an abundant number, since it is smaller than the sum of its proper divisors (434538774600).

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

135049769400 is a wasteful number, since it uses less digits than its factorization.

135049769400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 135049769400 in words is "one hundred thirty-five billion, forty-nine million, seven hundred sixty-nine thousand, four hundred".