1402134144 has 128 divisors (see below), whose sum is σ = 3801336000. Its totient is φ = 457850880.

The previous prime is 1402134103. The next prime is 1402134157. The reversal of 1402134144 is 4414312041.

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

It is a super-2 number, since 2×1402134144² = 3931960315541225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5817864 + ... + 5818104.

Almost surely, 2^1402134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900668000).

1402134144 is an abundant number, since it is smaller than the sum of its proper divisors (2399201856).

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

1402134144 is a wasteful number, since it uses less digits than its factorization.

1402134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1402134144 is about 37445.0817064137. The cubic root of 1402134144 is about 1119.2570923646.

Adding to 1402134144 its reverse (4414312041), we get a palindrome (5816446185).

The spelling of 1402134144 in words is "one billion, four hundred two million, one hundred thirty-four thousand, one hundred forty-four".