149990400000 has 1344 divisors, whose sum is σ = 655278059520. Its totient is φ = 33177600000.

The previous prime is 149990399981. The next prime is 149990400013. The reversal of 149990400000 is 4099941.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4838399985 + ... + 4838400015.

It is an arithmetic number, because the mean of its divisors is an integer number (487558080).

Almost surely, 2^149990400000 is an apocalyptic number.

149990400000 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 149990400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327639029760).

149990400000 is an abundant number, since it is smaller than the sum of its proper divisors (505287659520).

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

149990400000 is an frugal number, since it uses more digits than its factorization.

149990400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 149990400000 its reverse (4099941), we get a palindrome (149994499941).

The spelling of 149990400000 in words is "one hundred forty-nine billion, nine hundred ninety million, four hundred thousand".