1354559136000 has 1152 divisors, whose sum is σ = 5420177817600. Its totient is φ = 299400192000.

The previous prime is 1354559135999. The next prime is 1354559136001. The reversal of 1354559136000 is 6319554531.

It is an interprime number because it is at equal distance from previous prime (1354559135999) and next prime (1354559136001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1354559136001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1020767337 + ... + 1020768663.

Almost surely, 2^{1354559136000} is an apocalyptic number.

1354559136000 is a gapful number since it is divisible by the number (10) 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 1354559136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710088908800).

1354559136000 is an abundant number, since it is smaller than the sum of its proper divisors (4065618681600).

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

1354559136000 is an equidigital number, since it uses as much as digits as its factorization.

1354559136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 1354559136000 in words is "one trillion, three hundred fifty-four billion, five hundred fifty-nine million, one hundred thirty-six thousand".