154135300414004 has 432 divisors, whose sum is σ = 364097109196800. Its totient is φ = 56733961939200.

The previous prime is 154135300413973. The next prime is 154135300414031. The reversal of 154135300414004 is 400414003531451.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9496344569 + ... + 9496360799.

It is an arithmetic number, because the mean of its divisors is an integer number (842817382400).

Almost surely, 2^{154135300414004} is an apocalyptic number.

154135300414004 is a gapful number since it is divisible by the number (14) 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 154135300414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182048554598400).

154135300414004 is an abundant number, since it is smaller than the sum of its proper divisors (209961808782796).

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

154135300414004 is a wasteful number, since it uses less digits than its factorization.

154135300414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16564 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 154135300414004 its reverse (400414003531451), we get a palindrome (554549303945455).

The spelling of 154135300414004 in words is "one hundred fifty-four trillion, one hundred thirty-five billion, three hundred million, four hundred fourteen thousand, four".