154139040 has 288 divisors, whose sum is σ = 591566976. Its totient is φ = 36218880.

The previous prime is 154139023. The next prime is 154139107. The reversal of 154139040 is 40931451.

154139040 = 1647² + 1648² + ... + 1701².

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

It is a junction number, because it is equal to n+sod(n) for n = 154138995 and 154139013.

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, 585949 + ... + 586211.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052).

Almost surely, 2^154139040 is an apocalyptic number.

154139040 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 154139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295783488).

154139040 is an abundant number, since it is smaller than the sum of its proper divisors (437427936).

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

154139040 is a wasteful number, since it uses less digits than its factorization.

154139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 154139040 is about 12415.2744633375. The cubic root of 154139040 is about 536.1721063120.

The spelling of 154139040 in words is "one hundred fifty-four million, one hundred thirty-nine thousand, forty".