1535380152 has 64 divisors (see below), whose sum is σ = 3979176960. Its totient is φ = 493171200.

The previous prime is 1535380141. The next prime is 1535380153. The reversal of 1535380152 is 2510835351.

It is a super-2 number, since 2×1535380152² = 4714784422311086208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535380153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175023 + ... + 183585.

It is an arithmetic number, because the mean of its divisors is an integer number (62174640).

Almost surely, 2^1535380152 is an apocalyptic number.

1535380152 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 1535380152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989588480).

1535380152 is an abundant number, since it is smaller than the sum of its proper divisors (2443796808).

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

1535380152 is a wasteful number, since it uses less digits than its factorization.

1535380152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 1535380152 is about 39183.9272151223. The cubic root of 1535380152 is about 1153.6444312820.

The spelling of 1535380152 in words is "one billion, five hundred thirty-five million, three hundred eighty thousand, one hundred fifty-two".