135557788890 has 64 divisors (see below), whose sum is σ = 332925552000. Its totient is φ = 35311720704.

The previous prime is 135557788889. The next prime is 135557788901. The reversal of 135557788890 is 98887755531.

It is a super-3 number, since 3×135557788890³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177961 + ... + 550259.

It is an arithmetic number, because the mean of its divisors is an integer number (5201961750).

Almost surely, 2^135557788890 is an apocalyptic number.

135557788890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135557788890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166462776000).

135557788890 is an abundant number, since it is smaller than the sum of its proper divisors (197367763110).

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

135557788890 is a wasteful number, since it uses less digits than its factorization.

135557788890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372591.

The product of its (nonzero) digits is 84672000, while the sum is 66.

The spelling of 135557788890 in words is "one hundred thirty-five billion, five hundred fifty-seven million, seven hundred eighty-eight thousand, eight hundred ninety".