1535055420132 has 144 divisors (see below), whose sum is σ = 4206201454000. Its totient is φ = 469228723200.

The previous prime is 1535055420131. The next prime is 1535055420181. The reversal of 1535055420132 is 2310245505351.

1535055420132 is a `hidden beast` number, since 1 + 5 + 3 + 50 + 55 + 420 + 132 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 735433165476 + 799622254656 = 857574^2 + 894216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1535055420131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86477994 + ... + 86495742.

Almost surely, 2^{1535055420132} is an apocalyptic number.

1535055420132 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 1535055420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103100727000).

1535055420132 is an abundant number, since it is smaller than the sum of its proper divisors (2671146033868).

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

1535055420132 is a wasteful number, since it uses less digits than its factorization.

1535055420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18974 (or 18969 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1535055420132 in words is "one trillion, five hundred thirty-five billion, fifty-five million, four hundred twenty thousand, one hundred thirty-two".