1352702151552 has 128 divisors (see below), whose sum is σ = 3750458987520. Its totient is φ = 431167334400.

The previous prime is 1352702151499. The next prime is 1352702151631. The reversal of 1352702151552 is 2551512072531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1352702151552² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1352702151552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32047902 + ... + 32090082.

It is an arithmetic number, because the mean of its divisors is an integer number (29300460840).

Almost surely, 2^{1352702151552} is an apocalyptic number.

1352702151552 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 1352702151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875229493760).

1352702151552 is an abundant number, since it is smaller than the sum of its proper divisors (2397756835968).

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

1352702151552 is a wasteful number, since it uses less digits than its factorization.

1352702151552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45852 (or 45840 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 39.

It can be divided in two parts, 135270 and 2151552, that added together give a palindrome (2286822).

The spelling of 1352702151552 in words is "one trillion, three hundred fifty-two billion, seven hundred two million, one hundred fifty-one thousand, five hundred fifty-two".