135151563400 has 192 divisors, whose sum is σ = 368378208000. Its totient is φ = 45156787200.

The previous prime is 135151563397. The next prime is 135151563451. The reversal of 135151563400 is 4365151531.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9301341 + ... + 9315859.

It is an arithmetic number, because the mean of its divisors is an integer number (1918636500).

Almost surely, 2^135151563400 is an apocalyptic number.

135151563400 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 135151563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184189104000).

135151563400 is an abundant number, since it is smaller than the sum of its proper divisors (233226644600).

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

135151563400 is a wasteful number, since it uses less digits than its factorization.

135151563400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14712 (or 14703 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 135151563400 in words is "one hundred thirty-five billion, one hundred fifty-one million, five hundred sixty-three thousand, four hundred".