135610757464 has 128 divisors (see below), whose sum is σ = 327381264000. Its totient is φ = 51215560704.

The previous prime is 135610757449. The next prime is 135610757479. The reversal of 135610757464 is 464757016531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135610757449) and next prime (135610757479).

It is a super-2 number, since 2×135610757464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1842882 + ... + 1915054.

It is an arithmetic number, because the mean of its divisors is an integer number (2557666125).

Almost surely, 2^135610757464 is an apocalyptic number.

135610757464 is a gapful number since it is divisible by the number (14) 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 135610757464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163690632000).

135610757464 is an abundant number, since it is smaller than the sum of its proper divisors (191770506536).

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

135610757464 is a wasteful number, since it uses less digits than its factorization.

135610757464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72317 (or 72313 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 135610757464 in words is "one hundred thirty-five billion, six hundred ten million, seven hundred fifty-seven thousand, four hundred sixty-four".