151406519040 has 972 divisors, whose sum is σ = 644003562384. Its totient is φ = 32741646336.

The previous prime is 151406519039. The next prime is 151406519083. The reversal of 151406519040 is 40915604151.

151406519040 is a `hidden beast` number, since 1 + 514 + 0 + 6 + 51 + 90 + 4 + 0 = 666.

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 = 151406518986 and 151406519004.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 203776909 + ... + 203777651.

Almost surely, 2^151406519040 is an apocalyptic number.

151406519040 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 151406519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322001781192).

151406519040 is an abundant number, since it is smaller than the sum of its proper divisors (492597043344).

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

151406519040 is a wasteful number, since it uses less digits than its factorization.

151406519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 151406519040 in words is "one hundred fifty-one billion, four hundred six million, five hundred nineteen thousand, forty".