1142101632 has 64 divisors (see below), whose sum is σ = 3467102400. Its totient is φ = 326313984.

The previous prime is 1142101627. The next prime is 1142101643. The reversal of 1142101632 is 2361012411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1142101632² = 2608792275634126848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1142101599 and 1142101608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209757 + ... + 215132.

It is an arithmetic number, because the mean of its divisors is an integer number (54173475).

Almost surely, 2^1142101632 is an apocalyptic number.

1142101632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142101632 is an abundant number, since it is smaller than the sum of its proper divisors (2325000768).

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

1142101632 is an equidigital number, since it uses as much as digits as its factorization.

1142101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424913 (or 424901 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1142101632 is about 33794.9941855299. The cubic root of 1142101632 is about 1045.2854792638.

The spelling of 1142101632 in words is "one billion, one hundred forty-two million, one hundred one thousand, six hundred thirty-two".