149504187345408 has 1200 divisors, whose sum is σ = 570164976659520. Its totient is φ = 38707621134336.

The previous prime is 149504187345407. The next prime is 149504187345481. The reversal of 149504187345408 is 804543781405941.

It is a happy number.

149504187345408 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 0 + 4 + 1 + 87 + 3 + 4 + 540 + 8 = 666.

149504187345408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (149504187345407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 887955760 + ... + 888124112.

Almost surely, 2^{149504187345408} is an apocalyptic number.

149504187345408 is a gapful number since it is divisible by the number (18) 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 149504187345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285082488329760).

149504187345408 is an abundant number, since it is smaller than the sum of its proper divisors (420660789314112).

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

149504187345408 is a wasteful number, since it uses less digits than its factorization.

149504187345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168439 (or 168407 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 149504187345408 in words is "one hundred forty-nine trillion, five hundred four billion, one hundred eighty-seven million, three hundred forty-five thousand, four hundred eight".