135400156500 has 288 divisors, whose sum is σ = 459354744576. Its totient is φ = 30901651200.

The previous prime is 135400156499. The next prime is 135400156523. The reversal of 135400156500 is 5651004531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 78129634 + ... + 78131366.

It is an arithmetic number, because the mean of its divisors is an integer number (1594981752).

Almost surely, 2^135400156500 is an apocalyptic number.

135400156500 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 135400156500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229677372288).

135400156500 is an abundant number, since it is smaller than the sum of its proper divisors (323954588076).

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

135400156500 is a wasteful number, since it uses less digits than its factorization.

135400156500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 135400156500 in words is "one hundred thirty-five billion, four hundred million, one hundred fifty-six thousand, five hundred".