1835128152 has 192 divisors, whose sum is σ = 5886185760. Its totient is φ = 509184000.

The previous prime is 1835128123. The next prime is 1835128177. The reversal of 1835128152 is 2518215381.

1835128152 is a `hidden beast` number, since 18 + 3 + 512 + 81 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409902 + ... + 1411202.

Almost surely, 2^1835128152 is an apocalyptic number.

1835128152 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 1835128152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943092880).

1835128152 is an abundant number, since it is smaller than the sum of its proper divisors (4051057608).

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

1835128152 is a wasteful number, since it uses less digits than its factorization.

1835128152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1467 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 1835128152 is about 42838.3957682825. The cubic root of 1835128152 is about 1224.3026772928.

The spelling of 1835128152 in words is "one billion, eight hundred thirty-five million, one hundred twenty-eight thousand, one hundred fifty-two".