1356121536 has 336 divisors, whose sum is σ = 4670023680. Its totient is φ = 339609600.

The previous prime is 1356121517. The next prime is 1356121537. The reversal of 1356121536 is 6351216531.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1356121497 and 1356121506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356121537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5041210 + ... + 5041478.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2^1356121536 is an apocalyptic number.

1356121536 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 1356121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335011840).

1356121536 is an abundant number, since it is smaller than the sum of its proper divisors (3313902144).

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

1356121536 is a wasteful number, since it uses less digits than its factorization.

1356121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 323 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 1356121536 is about 36825.5554744256. Note that the first 3 decimals coincide. The cubic root of 1356121536 is about 1106.8774444090.

The spelling of 1356121536 in words is "one billion, three hundred fifty-six million, one hundred twenty-one thousand, five hundred thirty-six".