136983752400896 has 56 divisors (see below), whose sum is σ = 290065535397360. Its totient is φ = 64462942240768.

The previous prime is 136983752400893. The next prime is 136983752400899. The reversal of 136983752400896 is 698004257389631.

It is an interprime number because it is at equal distance from previous prime (136983752400893) and next prime (136983752400899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136983752400893) 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 3 ways as a sum of consecutive naturals, for example, 491673956 + ... + 491952483.

It is a 2-persistent number, because it is pandigital, and so is 2⋅136983752400896 = 273967504801792, but 3⋅136983752400896 = 410951257202688 is not.

Almost surely, 2^{136983752400896} is an apocalyptic number.

136983752400896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136983752400896 is an abundant number, since it is smaller than the sum of its proper divisors (153081782996464).

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

136983752400896 is an frugal number, since it uses more digits than its factorization.

136983752400896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983626482 (or 983626458 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 71.

The spelling of 136983752400896 in words is "one hundred thirty-six trillion, nine hundred eighty-three billion, seven hundred fifty-two million, four hundred thousand, eight hundred ninety-six".