150674135040 has 1536 divisors, whose sum is σ = 652516300800. Its totient is φ = 32487505920.

The previous prime is 150674135033. The next prime is 150674135083. The reversal of 150674135040 is 40531476051.

150674135040 is a `hidden beast` number, since 1 + 50 + 67 + 41 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 150674134986 and 150674135004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1462855629 + ... + 1462855731.

It is an arithmetic number, because the mean of its divisors is an integer number (424815300).

Almost surely, 2^150674135040 is an apocalyptic number.

150674135040 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 150674135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326258150400).

150674135040 is an abundant number, since it is smaller than the sum of its proper divisors (501842165760).

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

150674135040 is a wasteful number, since it uses less digits than its factorization.

150674135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 150674135040 in words is "one hundred fifty billion, six hundred seventy-four million, one hundred thirty-five thousand, forty".