154157371409664 has 288 divisors, whose sum is σ = 521182079712000. Its totient is φ = 44029132333056.

The previous prime is 154157371409653. The next prime is 154157371409677. The reversal of 154157371409664 is 466904173751451.

154157371409664 is a `hidden beast` number, since 1 + 5 + 4 + 157 + 3 + 71 + 409 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134371782 + ... + 135514170.

It is an arithmetic number, because the mean of its divisors is an integer number (1809659999000).

Almost surely, 2^{154157371409664} is an apocalyptic number.

154157371409664 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 154157371409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260591039856000).

154157371409664 is an abundant number, since it is smaller than the sum of its proper divisors (367024708302336).

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

154157371409664 is a wasteful number, since it uses less digits than its factorization.

154157371409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145210 (or 1145190 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 154157371409664 in words is "one hundred fifty-four trillion, one hundred fifty-seven billion, three hundred seventy-one million, four hundred nine thousand, six hundred sixty-four".