10070136000 has 448 divisors, whose sum is σ = 38571586560. Its totient is φ = 2567347200.

The previous prime is 10070135927. The next prime is 10070136061. The reversal of 10070136000 is 63107001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4966987 + ... + 4969013.

Almost surely, 2^10070136000 is an apocalyptic number.

10070136000 is a gapful number since it is divisible by the number (10) 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 10070136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285793280).

10070136000 is an abundant number, since it is smaller than the sum of its proper divisors (28501450560).

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

10070136000 is a wasteful number, since it uses less digits than its factorization.

10070136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

It can be divided in two parts, 10070 and 136000, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 10070136000 in words is "ten billion, seventy million, one hundred thirty-six thousand".