7138704000 has 128 divisors (see below), whose sum is σ = 23664962880. Its totient is φ = 1903641600.

The previous prime is 7138703983. The next prime is 7138704029. The reversal of 7138704000 is 4078317.

It is a happy number.

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

It is a super-2 number, since 2×7138704000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26362 + ... + 122361.

Almost surely, 2^7138704000 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 7138704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832481440).

7138704000 is an abundant number, since it is smaller than the sum of its proper divisors (16526258880).

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

7138704000 is a wasteful number, since it uses less digits than its factorization.

7138704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148755 (or 148733 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 7138704000 is about 84490.8515757771. The cubic root of 7138704000 is about 1925.4834564655.

The spelling of 7138704000 in words is "seven billion, one hundred thirty-eight million, seven hundred four thousand".