154904607014144 has 432 divisors, whose sum is σ = 358501012531200. Its totient is φ = 66576860872704.

The previous prime is 154904607014119. The next prime is 154904607014221. The reversal of 154904607014144 is 441410706409451.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 154904607014092 and 154904607014101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11379160682 + ... + 11379174294.

Almost surely, 2^{154904607014144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154904607014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179250506265600).

154904607014144 is an abundant number, since it is smaller than the sum of its proper divisors (203596405517056).

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

154904607014144 is a wasteful number, since it uses less digits than its factorization.

154904607014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13910 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 154904607014144 in words is "one hundred fifty-four trillion, nine hundred four billion, six hundred seven million, fourteen thousand, one hundred forty-four".