134445870400 has 84 divisors (see below), whose sum is σ = 331022944252. Its totient is φ = 53745500160.

The previous prime is 134445870371. The next prime is 134445870409. The reversal of 134445870400 is 4078544431.

It can be written as a sum of positive squares in 6 ways, for example, as 15056271616 + 119389598784 = 122704^2 + 345528^2 .

It is a super-2 number, since 2×134445870400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134445870409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2683984 + ... + 2733616.

Almost surely, 2^134445870400 is an apocalyptic number.

134445870400 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 134445870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165511472126).

134445870400 is an abundant number, since it is smaller than the sum of its proper divisors (196577073852).

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

134445870400 is a wasteful number, since it uses less digits than its factorization.

134445870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51348 (or 51333 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 134445870400 in words is "one hundred thirty-four billion, four hundred forty-five million, eight hundred seventy thousand, four hundred".