1376536136976 has 1200 divisors, whose sum is σ = 5633626299840. Its totient is φ = 318597027840.

The previous prime is 1376536136971. The next prime is 1376536137001. The reversal of 1376536136976 is 6796316356731.

1376536136976 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 5 + 3 + 613 + 6 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (77157360) is a multiple of the sum of its prime divisors (5292).

It is not an unprimeable number, because it can be changed into a prime (1376536136971) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 263348475 + ... + 263353701.

Almost surely, 2^{1376536136976} is an apocalyptic number.

1376536136976 is a gapful number since it is divisible by the number (16) 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 1376536136976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816813149920).

1376536136976 is an abundant number, since it is smaller than the sum of its proper divisors (4257090162864).

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

1376536136976 is a wasteful number, since it uses less digits than its factorization.

1376536136976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5292 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 63.

The spelling of 1376536136976 in words is "one trillion, three hundred seventy-six billion, five hundred thirty-six million, one hundred thirty-six thousand, nine hundred seventy-six".