121937536 has 128 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 48660480.

The previous prime is 121937531. The next prime is 121937579. The reversal of 121937536 is 635739121.

121937536 is a nontrivial binomial coefficient, being equal to C(15617, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 121937495 and 121937504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121937531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1257040 + ... + 1257136.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^121937536 is an apocalyptic number.

121937536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121937536 is the 15616-th triangular number.

121937536 is the 5206-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121937536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

121937536 is an abundant number, since it is smaller than the sum of its proper divisors (175543424).

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

121937536 is an equidigital number, since it uses as much as digits as its factorization.

121937536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 121937536 is about 11042.5330427398. The cubic root of 121937536 is about 495.8829068027.

The spelling of 121937536 in words is "one hundred twenty-one million, nine hundred thirty-seven thousand, five hundred thirty-six".