136267567156900 has 81 divisors (see below), whose sum is σ = 306256408116841. Its totient is φ = 52626166794880.

The previous prime is 136267567156879. The next prime is 136267567156951. The reversal of 136267567156900 is 9651765762631.

The square root of 136267567156900 is 11673370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31162586863716 + 105104980293184 = 5582346^2 + 10252072^2 .

It is a super-2 number, since 2×136267567156900² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3385257174 + ... + 3385297426.

Almost surely, 2^{136267567156900} is an apocalyptic number.

136267567156900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136267567156900 is the 11673370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136267567156900

136267567156900 is an abundant number, since it is smaller than the sum of its proper divisors (169988840959941).

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

136267567156900 is an frugal number, since it uses more digits than its factorization.

136267567156900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80578 (or 40289 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

The spelling of 136267567156900 in words is "one hundred thirty-six trillion, two hundred sixty-seven billion, five hundred sixty-seven million, one hundred fifty-six thousand, nine hundred".