135650296320 has 640 divisors, whose sum is σ = 569166428160. Its totient is φ = 26701332480.

The previous prime is 135650296291. The next prime is 135650296343. The reversal of 135650296320 is 23692056531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11229804 + ... + 11241876.

It is an arithmetic number, because the mean of its divisors is an integer number (889322544).

Almost surely, 2^135650296320 is an apocalyptic number.

135650296320 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 135650296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284583214080).

135650296320 is an abundant number, since it is smaller than the sum of its proper divisors (433516131840).

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

135650296320 is a wasteful number, since it uses less digits than its factorization.

135650296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 135650296320 in words is "one hundred thirty-five billion, six hundred fifty million, two hundred ninety-six thousand, three hundred twenty".