135355452000 has 384 divisors, whose sum is σ = 449780542848. Its totient is φ = 35581952000.

The previous prime is 135355451989. The next prime is 135355452013. The reversal of 135355452000 is 254553531.

It is a happy number.

It is a super-2 number, since 2×135355452000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461963854 + ... + 461964146.

It is an arithmetic number, because the mean of its divisors is an integer number (1171303497).

Almost surely, 2^135355452000 is an apocalyptic number.

135355452000 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 135355452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224890271424).

135355452000 is an abundant number, since it is smaller than the sum of its proper divisors (314425090848).

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

135355452000 is a wasteful number, since it uses less digits than its factorization.

135355452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 135355452000 in words is "one hundred thirty-five billion, three hundred fifty-five million, four hundred fifty-two thousand".