145100815136 has 192 divisors, whose sum is σ = 313679278080. Its totient is φ = 65899975680.

The previous prime is 145100815103. The next prime is 145100815169. The reversal of 145100815136 is 631518001541.

It is an interprime number because it is at equal distance from previous prime (145100815103) and next prime (145100815169).

It is a junction number, because it is equal to n+sod(n) for n = 145100815096 and 145100815105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159978395 + ... + 159979301.

It is an arithmetic number, because the mean of its divisors is an integer number (1633746240).

Almost surely, 2^145100815136 is an apocalyptic number.

145100815136 is a gapful number since it is divisible by the number (16) 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 145100815136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156839639040).

145100815136 is an abundant number, since it is smaller than the sum of its proper divisors (168578462944).

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

145100815136 is a wasteful number, since it uses less digits than its factorization.

145100815136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

Adding to 145100815136 its reverse (631518001541), we get a palindrome (776618816677).

The spelling of 145100815136 in words is "one hundred forty-five billion, one hundred million, eight hundred fifteen thousand, one hundred thirty-six".