135587745150 has 384 divisors, whose sum is σ = 402109263360. Its totient is φ = 29981952000.

The previous prime is 135587745101. The next prime is 135587745157. The reversal of 135587745150 is 51547785531.

It is a super-2 number, since 2×135587745150² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135587745093 and 135587745102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135587745157) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 409630485 + ... + 409630815.

It is an arithmetic number, because the mean of its divisors is an integer number (1047159540).

Almost surely, 2^135587745150 is an apocalyptic number.

135587745150 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 135587745150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201054631680).

135587745150 is an abundant number, since it is smaller than the sum of its proper divisors (266521518210).

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

135587745150 is a wasteful number, since it uses less digits than its factorization.

135587745150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2940000, while the sum is 51.

The spelling of 135587745150 in words is "one hundred thirty-five billion, five hundred eighty-seven million, seven hundred forty-five thousand, one hundred fifty".