135854507880 has 2048 divisors, whose sum is σ = 633559449600. Its totient is φ = 25082265600.

The previous prime is 135854507861. The next prime is 135854507881. The reversal of 135854507880 is 88705458531.

135854507880 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 54 + 507 + 8 + 80 = 666.

It is a super-2 number, since 2×135854507880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135854507881) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2227123050 + ... + 2227123110.

It is an arithmetic number, because the mean of its divisors is an integer number (309355200).

Almost surely, 2^135854507880 is an apocalyptic number.

135854507880 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 135854507880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316779724800).

135854507880 is an abundant number, since it is smaller than the sum of its proper divisors (497704941720).

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

135854507880 is a wasteful number, since it uses less digits than its factorization.

135854507880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 135854507880 in words is "one hundred thirty-five billion, eight hundred fifty-four million, five hundred seven thousand, eight hundred eighty".