29074139136 has 384 divisors, whose sum is σ = 101645107200. Its totient is φ = 8035614720.

The previous prime is 29074139123. The next prime is 29074139137. The reversal of 29074139136 is 63193147092.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 29074139091 and 29074139100.

It is not an unprimeable number, because it can be changed into a prime (29074139137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11998021 + ... + 12000443.

It is an arithmetic number, because the mean of its divisors is an integer number (264700800).

Almost surely, 2^29074139136 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 29074139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50822553600).

29074139136 is an abundant number, since it is smaller than the sum of its proper divisors (72570968064).

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

29074139136 is a wasteful number, since it uses less digits than its factorization.

29074139136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 29074139136 in words is "twenty-nine billion, seventy-four million, one hundred thirty-nine thousand, one hundred thirty-six".