154213312451 has 48 divisors (see below), whose sum is σ = 179323642368. Its totient is φ = 131498726400.

The previous prime is 154213312399. The next prime is 154213312453.

154213312451 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-154213312451 is a prime.

It is a Duffinian number.

Its product of digits (14400) is a multiple of the sum of its prime factors (1200).

It is not an unprimeable number, because it can be changed into a prime (154213312453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238351010 + ... + 238351656.

It is an arithmetic number, because the mean of its divisors is an integer number (3735909216).

Almost surely, 2^154213312451 is an apocalyptic number.

154213312451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

154213312451 is a deficient number, since it is larger than the sum of its proper divisors (25110329917).

154213312451 is a wasteful number, since it uses less digits than its factorization.

154213312451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1181 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 154213 and 312451, that added together give a palindrome (466664).

The spelling of 154213312451 in words is "one hundred fifty-four billion, two hundred thirteen million, three hundred twelve thousand, four hundred fifty-one".