121738464 has 120 divisors (see below), whose sum is σ = 363891528. Its totient is φ = 39916800.

The previous prime is 121738459. The next prime is 121738483. The reversal of 121738464 is 464837121.

121738464 is a `hidden beast` number, since 1 + 217 + 384 + 64 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173314 + ... + 174014.

Almost surely, 2^121738464 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 121738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181945764).

121738464 is an abundant number, since it is smaller than the sum of its proper divisors (242153064).

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

121738464 is an equidigital number, since it uses as much as digits as its factorization.

121738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 773 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 121738464 is about 11033.5154869153. The cubic root of 121738464 is about 495.6129047053.

The spelling of 121738464 in words is "one hundred twenty-one million, seven hundred thirty-eight thousand, four hundred sixty-four".