136424731476000 has 384 divisors, whose sum is σ = 487590045126912. Its totient is φ = 33070433280000.

The previous prime is 136424731475947. The next prime is 136424731476101. The reversal of 136424731476000 is 674137424631.

It is a super-2 number, since 2×136424731476000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2829131890 + ... + 2829180110.

It is an arithmetic number, because the mean of its divisors is an integer number (1269765742518).

Almost surely, 2^{136424731476000} is an apocalyptic number.

136424731476000 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 136424731476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243795022563456).

136424731476000 is an abundant number, since it is smaller than the sum of its proper divisors (351165313650912).

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

136424731476000 is a wasteful number, since it uses less digits than its factorization.

136424731476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69693 (or 69675 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 136424731476000 in words is "one hundred thirty-six trillion, four hundred twenty-four billion, seven hundred thirty-one million, four hundred seventy-six thousand".