135361001580 has 288 divisors, whose sum is σ = 448250568192. Its totient is φ = 30425472000.

The previous prime is 135361001507. The next prime is 135361001599. The reversal of 135361001580 is 85100163531.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128792055 + ... + 128793105.

It is an arithmetic number, because the mean of its divisors is an integer number (1556425584).

Almost surely, 2^135361001580 is an apocalyptic number.

135361001580 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 135361001580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224125284096).

135361001580 is an abundant number, since it is smaller than the sum of its proper divisors (312889566612).

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

135361001580 is a wasteful number, since it uses less digits than its factorization.

135361001580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 135361001580 in words is "one hundred thirty-five billion, three hundred sixty-one million, one thousand, five hundred eighty".