9152136000 has 448 divisors, whose sum is σ = 38381391360. Its totient is φ = 2091571200.

The previous prime is 9152135981. The next prime is 9152136029. The reversal of 9152136000 is 6312519.

9152136000 is a `hidden beast` number, since 9 + 1 + 52 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1508974 + ... + 1515026.

Almost surely, 2^9152136000 is an apocalyptic number.

9152136000 is a gapful number since it is divisible by the number (90) 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 9152136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190695680).

9152136000 is an abundant number, since it is smaller than the sum of its proper divisors (29229255360).

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

9152136000 is a wasteful number, since it uses less digits than its factorization.

9152136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9152136000 is about 95666.7967478790. The cubic root of 9152136000 is about 2091.7389737776.

Adding to 9152136000 its reverse (6312519), we get a palindrome (9158448519).

The spelling of 9152136000 in words is "nine billion, one hundred fifty-two million, one hundred thirty-six thousand".