149906961900 has 288 divisors, whose sum is σ = 507904992000. Its totient is φ = 37825159680.

The previous prime is 149906961871. The next prime is 149906961917. The reversal of 149906961900 is 9169609941.

149906961900 is a `hidden beast` number, since 1 + 499 + 0 + 6 + 9 + 61 + 90 + 0 = 666.

149906961900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149906961900² (a number of 23 digits) contains 22 as substring.

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

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, 66124567 + ... + 66126833.

It is an arithmetic number, because the mean of its divisors is an integer number (1763559000).

Almost surely, 2^149906961900 is an apocalyptic number.

149906961900 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 149906961900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253952496000).

149906961900 is an abundant number, since it is smaller than the sum of its proper divisors (357998030100).

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

149906961900 is a wasteful number, since it uses less digits than its factorization.

149906961900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 149906961900 in words is "one hundred forty-nine billion, nine hundred six million, nine hundred sixty-one thousand, nine hundred".