135797952 has 70 divisors (see below), whose sum is σ = 372130828. Its totient is φ = 43705088.

The previous prime is 135797951. The next prime is 135797953. The reversal of 135797952 is 259797531.

It is an interprime number because it is at equal distance from previous prime (135797951) and next prime (135797953).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (135797951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4682674 + ... + 4682702.

Almost surely, 2^135797952 is an apocalyptic number.

135797952 is a gapful number since it is divisible by the number (12) 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 135797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186065414).

135797952 is an abundant number, since it is smaller than the sum of its proper divisors (236332876).

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

135797952 is an frugal number, since it uses more digits than its factorization.

135797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 34 counting only the distinct ones).

The product of its digits is 595350, while the sum is 48.

The square root of 135797952 is about 11653.2378333234. The cubic root of 135797952 is about 514.0015241165.

Multiplying 135797952 by its sum of digits (48), we get a square (6518301696 = 80736²).

135797952 divided by its sum of digits (48) gives a square (2829124 = 1682²).

The spelling of 135797952 in words is "one hundred thirty-five million, seven hundred ninety-seven thousand, nine hundred fifty-two".