149881468500 has 480 divisors, whose sum is σ = 519675156000. Its totient is φ = 37536307200.

The previous prime is 149881468459. The next prime is 149881468519. The reversal of 149881468500 is 5864188941.

It is a happy number.

149881468500 is a `hidden beast` number, since 1 + 4 + 98 + 8 + 1 + 46 + 8 + 500 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 120849397956 + 29032070544 = 347634^2 + 170388^2 .

It is a super-3 number, since 3×149881468500³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43454776 + ... + 43458224.

It is an arithmetic number, because the mean of its divisors is an integer number (1082656575).

Almost surely, 2^149881468500 is an apocalyptic number.

149881468500 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 149881468500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259837578000).

149881468500 is an abundant number, since it is smaller than the sum of its proper divisors (369793687500).

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

149881468500 is a wasteful number, since it uses less digits than its factorization.

149881468500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 149881468500 in words is "one hundred forty-nine billion, eight hundred eighty-one million, four hundred sixty-eight thousand, five hundred".