1151319136500 has 480 divisors, whose sum is σ = 4059957597696. Its totient is φ = 282363667200.

The previous prime is 1151319136483. The next prime is 1151319136567. The reversal of 1151319136500 is 56319131511.

It is a happy number.

1151319136500 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 19 + 136 + 500 = 666.

It is a super-2 number, since 2×1151319136500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148995637 + ... + 149003363.

Almost surely, 2^{1151319136500} is an apocalyptic number.

1151319136500 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 1151319136500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029978798848).

1151319136500 is an abundant number, since it is smaller than the sum of its proper divisors (2908638461196).

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

1151319136500 is a wasteful number, since it uses less digits than its factorization.

1151319136500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 8033 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 1151319136500 in words is "one trillion, one hundred fifty-one billion, three hundred nineteen million, one hundred thirty-six thousand, five hundred".