151806493440 has 1152 divisors, whose sum is σ = 638465802240. Its totient is φ = 33861058560.

The previous prime is 151806493439. The next prime is 151806493463. The reversal of 151806493440 is 44394608151.

151806493440 is a `hidden beast` number, since 1 + 518 + 0 + 6 + 4 + 93 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×151806493440² (a number of 23 digits) contains 22 as substring.

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

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, 1195326657 + ... + 1195326783.

Almost surely, 2^151806493440 is an apocalyptic number.

151806493440 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 151806493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319232901120).

151806493440 is an abundant number, since it is smaller than the sum of its proper divisors (486659308800).

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

151806493440 is an frugal number, since it uses more digits than its factorization.

151806493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 151806493440 in words is "one hundred fifty-one billion, eight hundred six million, four hundred ninety-three thousand, four hundred forty".