136920698196480 has 1920 divisors, whose sum is σ = 569152191928320. Its totient is φ = 31178132029440.

The previous prime is 136920698196461. The next prime is 136920698196539. The reversal of 136920698196480 is 84691896029631.

136920698196480 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 2 + 0 + 69 + 81 + 9 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×136920698196480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 136920698196399 and 136920698196408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84571153111 + ... + 84571154729.

It is an arithmetic number, because the mean of its divisors is an integer number (296433433296).

Almost surely, 2^{136920698196480} is an apocalyptic number.

136920698196480 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 136920698196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284576095964160).

136920698196480 is an abundant number, since it is smaller than the sum of its proper divisors (432231493731840).

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

136920698196480 is a wasteful number, since it uses less digits than its factorization.

136920698196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 136920698196480 in words is "one hundred thirty-six trillion, nine hundred twenty billion, six hundred ninety-eight million, one hundred ninety-six thousand, four hundred eighty".