135272978500 has 288 divisors, whose sum is σ = 333386333280. Its totient is φ = 47900160000.

The previous prime is 135272978461. The next prime is 135272978647. The reversal of 135272978500 is 5879272531.

It can be written as a sum of positive squares in 16 ways, for example, as 65994527236 + 69278451264 = 256894^2 + 263208^2 .

It is a super-2 number, since 2×135272978500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481398360 + ... + 481398640.

It is an arithmetic number, because the mean of its divisors is an integer number (1157591435).

Almost surely, 2^135272978500 is an apocalyptic number.

135272978500 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 135272978500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166693166640).

135272978500 is an abundant number, since it is smaller than the sum of its proper divisors (198113354780).

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

135272978500 is a wasteful number, since it uses less digits than its factorization.

135272978500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 135272978500 in words is "one hundred thirty-five billion, two hundred seventy-two million, nine hundred seventy-eight thousand, five hundred".