134153532250300 has 288 divisors, whose sum is σ = 325710403200000. Its totient is φ = 47736820454400.

The previous prime is 134153532250253. The next prime is 134153532250313. The reversal of 134153532250300 is 3052235351431.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 134153532250300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5159936701 + ... + 5159962699.

It is an arithmetic number, because the mean of its divisors is an integer number (1130938900000).

Almost surely, 2^{134153532250300} is an apocalyptic number.

134153532250300 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 134153532250300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162855201600000).

134153532250300 is an abundant number, since it is smaller than the sum of its proper divisors (191556870949700).

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

134153532250300 is a wasteful number, since it uses less digits than its factorization.

134153532250300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28629 (or 28622 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

The spelling of 134153532250300 in words is "one hundred thirty-four trillion, one hundred fifty-three billion, five hundred thirty-two million, two hundred fifty thousand, three hundred".