154138360320 has 1600 divisors, whose sum is σ = 695878318080. Its totient is φ = 31926140928.

The previous prime is 154138360289. The next prime is 154138360351. The reversal of 154138360320 is 23063831451.

154138360320 is a `hidden beast` number, since 1 + 5 + 41 + 3 + 8 + 3 + 603 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (154138360289) and next prime (154138360351).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 6701667829 + ... + 6701667851.

Almost surely, 2^154138360320 is an apocalyptic number.

154138360320 is a gapful number since it is divisible by the number (10) 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 154138360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347939159040).

154138360320 is an abundant number, since it is smaller than the sum of its proper divisors (541739957760).

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

154138360320 is an frugal number, since it uses more digits than its factorization.

154138360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 154138360320 in words is "one hundred fifty-four billion, one hundred thirty-eight million, three hundred sixty thousand, three hundred twenty".