135525876570 has 320 divisors, whose sum is σ = 430888550400. Its totient is φ = 29909761920.

The previous prime is 135525876547. The next prime is 135525876593. The reversal of 135525876570 is 75678525531.

135525876570 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 587 + 6 + 57 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135525876547) and next prime (135525876593).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147470571 + ... + 147471489.

It is an arithmetic number, because the mean of its divisors is an integer number (1346526720).

Almost surely, 2^135525876570 is an apocalyptic number.

135525876570 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 135525876570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215444275200).

135525876570 is an abundant number, since it is smaller than the sum of its proper divisors (295362673830).

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

135525876570 is a wasteful number, since it uses less digits than its factorization.

135525876570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 135525876570 in words is "one hundred thirty-five billion, five hundred twenty-five million, eight hundred seventy-six thousand, five hundred seventy".