149714429040 has 960 divisors, whose sum is σ = 611841589632. Its totient is φ = 32381337600.

The previous prime is 149714429017. The next prime is 149714429063. The reversal of 149714429040 is 40924417941.

149714429040 is a `hidden beast` number, since 14 + 9 + 71 + 442 + 90 + 40 = 666.

149714429040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149714429017) and next prime (149714429063).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204248514 + ... + 204249246.

Almost surely, 2^149714429040 is an apocalyptic number.

149714429040 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 149714429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305920794816).

149714429040 is an abundant number, since it is smaller than the sum of its proper divisors (462127160592).

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

149714429040 is a wasteful number, since it uses less digits than its factorization.

149714429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 149714429040 in words is "one hundred forty-nine billion, seven hundred fourteen million, four hundred twenty-nine thousand, forty".