154192915493136 has 525 divisors, whose sum is σ = 486567978248451. Its totient is φ = 47141783080704.

The previous prime is 154192915493131. The next prime is 154192915493137. The reversal of 154192915493136 is 631394519291451.

The square root of 154192915493136 is 12417444.

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

154192915493136 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 9 + 2 + 9 + 1 + 5 + 493 + 136 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 5255299493136 + 148937616000000 = 2292444^2 + 12204000^2 .

It is a super-2 number, since 2×154192915493136² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (154192915493131) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 982120480770 + ... + 982120480926.

Almost surely, 2^{154192915493136} is an apocalyptic number.

154192915493136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

154192915493136 is the 12417444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154192915493136

154192915493136 is an abundant number, since it is smaller than the sum of its proper divisors (332375062755315).

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

154192915493136 is an frugal number, since it uses more digits than its factorization.

154192915493136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 175 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 154192915493136 in words is "one hundred fifty-four trillion, one hundred ninety-two billion, nine hundred fifteen million, four hundred ninety-three thousand, one hundred thirty-six".