151457040 has 420 divisors, whose sum is σ = 625751244. Its totient is φ = 33965568.

The previous prime is 151457017. The next prime is 151457057. The reversal of 151457040 is 40754151.

It is a happy number.

151457040 is a `hidden beast` number, since 1 + 51 + 4 + 570 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 69155856 = 9072^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 151456995 and 151457013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857654 + ... + 2857706.

Almost surely, 2^151457040 is an apocalyptic number.

151457040 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 151457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312875622).

151457040 is an abundant number, since it is smaller than the sum of its proper divisors (474294204).

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

151457040 is an equidigital number, since it uses as much as digits as its factorization.

151457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 151457040 is about 12306.7883706514. The cubic root of 151457040 is about 533.0441174980.

The spelling of 151457040 in words is "one hundred fifty-one million, four hundred fifty-seven thousand, forty".