135701000 has 32 divisors (see below), whose sum is σ = 317542680. Its totient is φ = 54280000.

The previous prime is 135700997. The next prime is 135701009. The reversal of 135701000 is 107531.

It can be written as a sum of positive squares in 4 ways, for example, as 20052484 + 115648516 = 4478^2 + 10754^2 .

It is a super-2 number, since 2×135701000² = 36829522802000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135701000.

It is not an unprimeable number, because it can be changed into a prime (135701009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66851 + ... + 68850.

Almost surely, 2^135701000 is an apocalyptic number.

135701000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135701000 is an abundant number, since it is smaller than the sum of its proper divisors (181841680).

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

135701000 is a wasteful number, since it uses less digits than its factorization.

135701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135722 (or 135708 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 135701000 is about 11649.0772166726. The cubic root of 135701000 is about 513.8791723943.

Adding to 135701000 its reverse (107531), we get a palindrome (135808531).

The spelling of 135701000 in words is "one hundred thirty-five million, seven hundred one thousand".