135151563600 has 360 divisors, whose sum is σ = 483417934272. Its totient is φ = 34944460800.

The previous prime is 135151563571. The next prime is 135151563623. The reversal of 135151563600 is 6365151531.

135151563600 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 5 + 15 + 636 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24646459 + ... + 24651941.

Almost surely, 2^135151563600 is an apocalyptic number.

135151563600 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 135151563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241708967136).

135151563600 is an abundant number, since it is smaller than the sum of its proper divisors (348266370672).

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

135151563600 is a wasteful number, since it uses less digits than its factorization.

135151563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 135151563600 in words is "one hundred thirty-five billion, one hundred fifty-one million, five hundred sixty-three thousand, six hundred".