135554967900 has 432 divisors, whose sum is σ = 485284939776. Its totient is φ = 31348800000.

The previous prime is 135554967833. The next prime is 135554967907. The reversal of 135554967900 is 9769455531.

135554967900 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 549 + 6 + 7 + 90 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135554967907) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21786790 + ... + 21793010.

It is an arithmetic number, because the mean of its divisors is an integer number (1123344768).

Almost surely, 2^135554967900 is an apocalyptic number.

135554967900 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 135554967900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242642469888).

135554967900 is an abundant number, since it is smaller than the sum of its proper divisors (349729971876).

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

135554967900 is a wasteful number, since it uses less digits than its factorization.

135554967900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 135554967900 in words is "one hundred thirty-five billion, five hundred fifty-four million, nine hundred sixty-seven thousand, nine hundred".